fdo#81356: convert Fraction to boost::rational<long> - wip

* Added rational util functions used by Fraction class not
  available in the boost::rational class.
* Replaced usage of Fraction by boost::rational<long>
* Removed code that relies on:
  1. fraction.IsValid() -- rational only allow valid values, ie
     denominator() != 0
  2. rational.denominator() == 0 -- always false
  3. rational.denominator() < 0 -- always false but implementation
     detail: http://www.boost.org/doc/libs/release/libs/rational/rational.html#Internal%20representation
* Simplified code that relies on:
  1. rational.denominator() != 0 -- always true
* BUGS EXIST because Fraction allows the creation of invalid values but
  boost::rational throws the exception boost::bad_rational

Change-Id: I84970a4956afb3f91ac0c8f726547466319420f9
Reviewed-on: https://gerrit.libreoffice.org/11551
Reviewed-by: David Tardon <dtardon@redhat.com>
Tested-by: David Tardon <dtardon@redhat.com>

24 files changed, 153 insertions, 155 deletions

diff --git a/sc/source/ui/view/drawutil.cxx b/sc/source/ui/view/drawutil.cxx
index 668337aac0da..21840f50ffaf 100644
--- a/sc/source/ui/view/drawutil.cxx
+++ b/sc/source/ui/view/drawutil.cxx
@@ -27,9 +27,9 @@
 void ScDrawUtil::CalcScale( ScDocument* pDoc, SCTAB nTab,
                             SCCOL nStartCol, SCROW nStartRow, SCCOL nEndCol, SCROW nEndRow,
                             OutputDevice* pDev,
-                            const Fraction& rZoomX, const Fraction& rZoomY,
+                            const boost::rational<long>& rZoomX, const boost::rational<long>& rZoomY,
                             double nPPTX, double nPPTY,
-                            Fraction& rScaleX, Fraction& rScaleY )
+                            boost::rational<long>& rScaleX, boost::rational<long>& rScaleY )
 {
     long nPixelX = 0;
     long nTwipsX = 0;
@@ -63,27 +63,27 @@ void ScDrawUtil::CalcScale( ScDocument* pDoc, SCTAB nTab,
     //  because ReduceInaccurate is called later anyway.
 
     if ( aPixelLog.X() && nTwipsX )
-        rScaleX = Fraction( ((double)aPixelLog.X()) *
-                            ((double)rZoomX.GetNumerator()) /
+        rScaleX = rational_FromDouble( ((double)aPixelLog.X()) *
+                            ((double)rZoomX.numerator()) /
                             ((double)nTwipsX) /
                             ((double)HMM_PER_TWIPS) /
-                            ((double)rZoomX.GetDenominator()) );
+                            ((double)rZoomX.denominator()) );
     else
-        rScaleX = Fraction( 1, 1 );
+        rScaleX = boost::rational<long>( 1, 1 );
 
     if ( aPixelLog.Y() && nTwipsY )
-        rScaleY = Fraction( ((double)aPixelLog.Y()) *
-                            ((double)rZoomY.GetNumerator()) /
+        rScaleY = rational_FromDouble( ((double)aPixelLog.Y()) *
+                            ((double)rZoomY.numerator()) /
                             ((double)nTwipsY) /
                             ((double)HMM_PER_TWIPS) /
-                            ((double)rZoomY.GetDenominator()) );
+                            ((double)rZoomY.denominator()) );
     else
-        rScaleY = Fraction( 1, 1 );
+        rScaleY = boost::rational<long>( 1, 1 );
 
     //  25 bits of accuracy are needed to always hit the right part of
     //  cells in the last rows (was 17 before 1M rows).
-    rScaleX.ReduceInaccurate( 25 );
-    rScaleY.ReduceInaccurate( 25 );
+    rational_ReduceInaccurate(rScaleX, 25);
+    rational_ReduceInaccurate(rScaleY, 25);
 }
 
 /* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/sc/source/ui/view/drawvie4.cxx b/sc/source/ui/view/drawvie4.cxx
index 08a3565d28ca..6a8add5ccc4e 100644
--- a/sc/source/ui/view/drawvie4.cxx
+++ b/sc/source/ui/view/drawvie4.cxx
@@ -437,7 +437,7 @@ uno::Reference<datatransfer::XTransferable> ScDrawView::CopyToTransferable()
 
 //  Korrektur fuer 100% berechnen, unabhaengig von momentanen Einstellungen
 
-void ScDrawView::CalcNormScale( Fraction& rFractX, Fraction& rFractY ) const
+void ScDrawView::CalcNormScale( boost::rational<long>& rFractX, boost::rational<long>& rFractY ) const
 {
     double nPPTX = ScGlobal::nScreenPPTX;
     double nPPTY = ScGlobal::nScreenPPTY;
@@ -453,7 +453,7 @@ void ScDrawView::CalcNormScale( Fraction& rFractX, Fraction& rFractY ) const
     if (nEndRow<20)
         nEndRow = 1000;
 
-    Fraction aZoom(1,1);
+    boost::rational<long> aZoom(1,1);
     ScDrawUtil::CalcScale( pDoc, nTab, 0,0, nEndCol,nEndRow, pDev, aZoom,aZoom,
                             nPPTX, nPPTY, rFractX,rFractY );
 }
@@ -513,7 +513,7 @@ void ScDrawView::SetMarkedOriginalSize()
             {
                 //  Pixel-Korrektur beruecksichtigen, damit Bitmap auf dem Bildschirm stimmt
 
-                Fraction aNormScaleX, aNormScaleY;
+                boost::rational<long> aNormScaleX, aNormScaleY;
                 CalcNormScale( aNormScaleX, aNormScaleY );
                 aDestMap.SetScaleX(aNormScaleX);
                 aDestMap.SetScaleY(aNormScaleY);
@@ -535,8 +535,8 @@ void ScDrawView::SetMarkedOriginalSize()
             Rectangle aDrawRect = pObj->GetLogicRect();
 
             pUndoGroup->AddAction( new SdrUndoGeoObj( *pObj ) );
-            pObj->Resize( aDrawRect.TopLeft(), Fraction( aOriginalSize.Width(), aDrawRect.GetWidth() ),
-                                                 Fraction( aOriginalSize.Height(), aDrawRect.GetHeight() ) );
+            pObj->Resize( aDrawRect.TopLeft(), boost::rational<long>( aOriginalSize.Width(), aDrawRect.GetWidth() ),
+                                                 boost::rational<long>( aOriginalSize.Height(), aDrawRect.GetHeight() ) );
             ++nDone;
         }
     }
diff --git a/sc/source/ui/view/drawview.cxx b/sc/source/ui/view/drawview.cxx
index 718091033af3..00e31a2910d0 100644
--- a/sc/source/ui/view/drawview.cxx
+++ b/sc/source/ui/view/drawview.cxx
@@ -286,7 +286,7 @@ void ScDrawView::DoCut()
     EndUndo();
 }
 
-void ScDrawView::GetScale( Fraction& rFractX, Fraction& rFractY ) const
+void ScDrawView::GetScale( boost::rational<long>& rFractX, boost::rational<long>& rFractY ) const
 {
     rFractX = aScaleX;
     rFractY = aScaleY;
@@ -296,8 +296,8 @@ void ScDrawView::RecalcScale()
 {
     double nPPTX;
     double nPPTY;
-    Fraction aZoomX(1,1);
-    Fraction aZoomY(1,1);
+    boost::rational<long> aZoomX(1,1);
+    boost::rational<long> aZoomY(1,1);
 
     if (pViewData)
     {
@@ -614,8 +614,8 @@ void ScDrawView::UpdateUserViewOptions()
         SetSnapEnabled( rGrid.GetUseGridSnap() );
         SetGridSnap( rGrid.GetUseGridSnap() );
 
-        Fraction aFractX( rGrid.GetFldDrawX(), rGrid.GetFldDivisionX() + 1 );
-        Fraction aFractY( rGrid.GetFldDrawY(), rGrid.GetFldDivisionY() + 1 );
+        boost::rational<long> aFractX( rGrid.GetFldDrawX(), rGrid.GetFldDivisionX() + 1 );
+        boost::rational<long> aFractY( rGrid.GetFldDrawY(), rGrid.GetFldDivisionY() + 1 );
         SetSnapGridWidth( aFractX, aFractY );
 
         SetGridCoarse( Size( rGrid.GetFldDrawX(), rGrid.GetFldDrawY() ) );
diff --git a/sc/source/ui/view/gridwin.cxx b/sc/source/ui/view/gridwin.cxx
index e0d5b7a604e1..219adb2f3977 100644
--- a/sc/source/ui/view/gridwin.cxx
+++ b/sc/source/ui/view/gridwin.cxx
@@ -4625,8 +4625,8 @@ void ScGridWindow::UpdateFormulas()
     ScTableInfo aTabInfo;
     rDoc.FillInfo( aTabInfo, nX1, nY1, nX2, nY2, nTab, nPPTX, nPPTY, false, false );
 
-    Fraction aZoomX = pViewData->GetZoomX();
-    Fraction aZoomY = pViewData->GetZoomY();
+    boost::rational<long> aZoomX = pViewData->GetZoomX();
+    boost::rational<long> aZoomY = pViewData->GetZoomY();
     ScOutputData aOutputData( this, OUTTYPE_WINDOW, aTabInfo, &rDoc, nTab,
                                 nScrX, nScrY, nX1, nY1, nX2, nY2, nPPTX, nPPTY,
                                 &aZoomX, &aZoomY );
diff --git a/sc/source/ui/view/gridwin3.cxx b/sc/source/ui/view/gridwin3.cxx
index e9ac6ca2054a..9cbaa2a9139b 100644
--- a/sc/source/ui/view/gridwin3.cxx
+++ b/sc/source/ui/view/gridwin3.cxx
@@ -247,8 +247,8 @@ MapMode ScGridWindow::GetDrawMapMode( bool bForce )
     ScDrawView* pDrView = pViewData->GetView()->GetScDrawView();
     if ( pDrView || bForce )
     {
-        Fraction aScaleX;
-        Fraction aScaleY;
+        boost::rational<long> aScaleX;
+        boost::rational<long> aScaleY;
         if (pDrView)
             pDrView->GetScale( aScaleX, aScaleY );
         else
diff --git a/sc/source/ui/view/gridwin4.cxx b/sc/source/ui/view/gridwin4.cxx
index 0991b7e5bed5..56f35ecb4496 100644
--- a/sc/source/ui/view/gridwin4.cxx
+++ b/sc/source/ui/view/gridwin4.cxx
@@ -77,7 +77,7 @@ static void lcl_LimitRect( Rectangle& rRect, const Rectangle& rVisible )
 
 static void lcl_DrawOneFrame( OutputDevice* pDev, const Rectangle& rInnerPixel,
                         const OUString& rTitle, const Color& rColor, bool bTextBelow,
-                        double nPPTX, double nPPTY, const Fraction& rZoomY,
+                        double nPPTX, double nPPTY, const boost::rational<long>& rZoomY,
                         ScDocument* pDoc, ScViewData* pButtonViewData, bool bLayoutRTL )
 {
     //  pButtonViewData wird nur benutzt, um die Button-Groesse zu setzen,
@@ -132,8 +132,8 @@ static void lcl_DrawOneFrame( OutputDevice* pDev, const Rectangle& rInnerPixel,
 
     ScDDComboBoxButton aComboButton((vcl::Window*)pDev);
     aComboButton.SetOptSizePixel();
-    long nBWidth  = ( aComboButton.GetSizePixel().Width() * rZoomY.GetNumerator() )
-                        / rZoomY.GetDenominator();
+    long nBWidth  = ( aComboButton.GetSizePixel().Width() * rZoomY.numerator() )
+                        / rZoomY.denominator();
     long nBHeight = nVer + aTextSize.Height() + 1;
     Size aButSize( nBWidth, nBHeight );
     long nButtonPos = bLayoutRTL ? aOuter.Left() : aOuter.Right()-nBWidth+1;
@@ -470,8 +470,8 @@ void ScGridWindow::Draw( SCCOL nX1, SCROW nY1, SCCOL nX2, SCROW nY2, ScUpdateMod
                                         nPPTX, nPPTY, false, bFormulaMode,
                                         &pViewData->GetMarkData() );
 
-    Fraction aZoomX = pViewData->GetZoomX();
-    Fraction aZoomY = pViewData->GetZoomY();
+    boost::rational<long> aZoomX = pViewData->GetZoomX();
+    boost::rational<long> aZoomY = pViewData->GetZoomY();
     ScOutputData aOutputData( this, OUTTYPE_WINDOW, aTabInfo, &rDoc, nTab,
                                 nScrX, nScrY, nX1, nY1, nX2, nY2, nPPTX, nPPTY,
                                 &aZoomX, &aZoomY );
diff --git a/sc/source/ui/view/output.cxx b/sc/source/ui/view/output.cxx
index 1e94298dc046..617288e69ef2 100644
--- a/sc/source/ui/view/output.cxx
+++ b/sc/source/ui/view/output.cxx
@@ -145,7 +145,7 @@ ScOutputData::ScOutputData( OutputDevice* pNewDev, ScOutputType eNewType,
                             SCTAB nNewTab, long nNewScrX, long nNewScrY,
                             SCCOL nNewX1, SCROW nNewY1, SCCOL nNewX2, SCROW nNewY2,
                             double nPixelPerTwipsX, double nPixelPerTwipsY,
-                            const Fraction* pZoomX, const Fraction* pZoomY ) :
+                            const boost::rational<long>* pZoomX, const boost::rational<long>* pZoomY ) :
     mpDev( pNewDev ),
     mpRefDevice( pNewDev ),      // default is output device
     pFmtDevice( pNewDev ),      // default is output device
@@ -193,11 +193,11 @@ ScOutputData::ScOutputData( OutputDevice* pNewDev, ScOutputType eNewType,
     if (pZoomX)
         aZoomX = *pZoomX;
     else
-        aZoomX = Fraction(1,1);
+        aZoomX = boost::rational<long>(1,1);
     if (pZoomY)
         aZoomY = *pZoomY;
     else
-        aZoomY = Fraction(1,1);
+        aZoomY = boost::rational<long>(1,1);
 
     nVisX1 = nX1;
     nVisY1 = nY1;
diff --git a/sc/source/ui/view/output2.cxx b/sc/source/ui/view/output2.cxx
index 9f7e48ff2276..a5a9af577aae 100644
--- a/sc/source/ui/view/output2.cxx
+++ b/sc/source/ui/view/output2.cxx
@@ -231,7 +231,7 @@ void ScDrawStringsVars::SetShrinkScale( long nScale, sal_uInt8 nScript )
 
     // call GetFont with a modified fraction, use only the height
 
-    Fraction aFraction( nScale, 100 );
+    boost::rational<long> aFraction( nScale, 100 );
     if ( !bPixelToLogic )
         aFraction *= pOutput->aZoomY;
     vcl::Font aTmpFont;
@@ -810,12 +810,12 @@ double ScOutputData::GetStretch()
     if ( mpRefDevice == pFmtDevice )
     {
         MapMode aOld = mpRefDevice->GetMapMode();
-        return ((double)aOld.GetScaleY()) / ((double)aOld.GetScaleX()) * ((double)aZoomY) / ((double)aZoomX);
+        return boost::rational_cast<double>(aOld.GetScaleY()) / boost::rational_cast<double>(aOld.GetScaleX()) * boost::rational_cast<double>(this->aZoomY) / boost::rational_cast<double>(this->aZoomX);
     }
     else
     {
         // when formatting for printer, device map mode has already been taken care of
-        return ((double)aZoomY) / ((double)aZoomX);
+        return boost::rational_cast<double>(this->aZoomY) / boost::rational_cast<double>(this->aZoomX);
     }
 }
 
@@ -2787,7 +2787,7 @@ void ScOutputData::DrawEditStandard(DrawEditParam& rParam)
             // #i85342# screen display and formatting for printer,
             // use same GetEditArea call as in ScViewData::SetEditEngine
 
-            Fraction aFract(1,1);
+            boost::rational<long> aFract(1,1);
             Rectangle aUtilRect = ScEditUtil( mpDoc, rParam.mnCellX, rParam.mnCellY, nTab, Point(0,0), pFmtDevice,
                 HMM_PER_TWIPS, HMM_PER_TWIPS, aFract, aFract ).GetEditArea( rParam.mpPattern, false );
             aLogicSize.Width() = aUtilRect.GetWidth();
@@ -3809,7 +3809,7 @@ void ScOutputData::DrawEditStacked(DrawEditParam& rParam)
             // #i85342# screen display and formatting for printer,
             // use same GetEditArea call as in ScViewData::SetEditEngine
 
-            Fraction aFract(1,1);
+            boost::rational<long> aFract(1,1);
             Rectangle aUtilRect = ScEditUtil( mpDoc, rParam.mnCellX, rParam.mnCellY, nTab, Point(0,0), pFmtDevice,
                 HMM_PER_TWIPS, HMM_PER_TWIPS, aFract, aFract ).GetEditArea( rParam.mpPattern, false );
             aLogicSize.Width() = aUtilRect.GetWidth();
@@ -4165,7 +4165,7 @@ void ScOutputData::DrawEditAsianVertical(DrawEditParam& rParam)
             // #i85342# screen display and formatting for printer,
             // use same GetEditArea call as in ScViewData::SetEditEngine
 
-            Fraction aFract(1,1);
+            boost::rational<long> aFract(1,1);
             Rectangle aUtilRect = ScEditUtil( mpDoc, rParam.mnCellX, rParam.mnCellY, nTab, Point(0,0), pFmtDevice,
                 HMM_PER_TWIPS, HMM_PER_TWIPS, aFract, aFract ).GetEditArea( rParam.mpPattern, false );
             aLogicSize.Width() = aUtilRect.GetWidth();
diff --git a/sc/source/ui/view/overlayobject.cxx b/sc/source/ui/view/overlayobject.cxx
index 778e44f0dfe0..1e2fe00972fd 100644
--- a/sc/source/ui/view/overlayobject.cxx
+++ b/sc/source/ui/view/overlayobject.cxx
@@ -20,7 +20,6 @@
 #include "overlayobject.hxx"
 #include <vcl/outdev.hxx>
 #include <vcl/lineinfo.hxx>
-#include <tools/fract.hxx>
 #include <basegfx/range/b2drange.hxx>
 #include <basegfx/polygon/b2dpolygon.hxx>
 #include <basegfx/polygon/b2dpolygontools.hxx>
diff --git a/sc/source/ui/view/preview.cxx b/sc/source/ui/view/preview.cxx
index e7cad9911d72..e7b50e8993ee 100644
--- a/sc/source/ui/view/preview.cxx
+++ b/sc/source/ui/view/preview.cxx
@@ -344,8 +344,8 @@ void ScPreview::DoPrint( ScPreviewLocationData* pFillLocation )
         UpdateDrawView();       // Spreedsheet eventually changes
     }
 
-    Fraction aPreviewZoom( nZoom, 100 );
-    Fraction aHorPrevZoom( (long)( 100 * nZoom / pDocShell->GetOutputFactor() ), 10000 );
+    boost::rational<long> aPreviewZoom( nZoom, 100 );
+    boost::rational<long> aHorPrevZoom( long( 100 * nZoom / pDocShell->GetOutputFactor() ), 10000 );
     MapMode aMMMode( MAP_100TH_MM, Point(), aHorPrevZoom, aPreviewZoom );
 
     bool bDoPrint = ( pFillLocation == NULL );
@@ -732,8 +732,8 @@ void ScPreview::SetZoom(sal_uInt16 nNewZoom)
 
         //  apply new MapMode and call UpdateScrollBars to update aOffset
 
-        Fraction aPreviewZoom( nZoom, 100 );
-        Fraction aHorPrevZoom( (long)( 100 * nZoom / pDocShell->GetOutputFactor() ), 10000 );
+        boost::rational<long> aPreviewZoom( nZoom, 100 );
+        boost::rational<long> aHorPrevZoom( long( 100 * nZoom / pDocShell->GetOutputFactor() ), 10000 );
         MapMode aMMMode( MAP_100TH_MM, Point(), aHorPrevZoom, aPreviewZoom );
         SetMapMode( aMMMode );
 
@@ -961,8 +961,8 @@ void ScPreview::DataChanged( const DataChangedEvent& rDCEvt )
 
 void ScPreview::MouseButtonDown( const MouseEvent& rMEvt )
 {
-    Fraction  aPreviewZoom( nZoom, 100 );
-    Fraction  aHorPrevZoom( (long)( 100 * nZoom / pDocShell->GetOutputFactor() ), 10000 );
+    boost::rational<long>  aPreviewZoom( nZoom, 100 );
+    boost::rational<long>  aHorPrevZoom( long( 100 * nZoom / pDocShell->GetOutputFactor() ), 10000 );
     MapMode   aMMMode( MAP_100TH_MM, Point(), aHorPrevZoom, aPreviewZoom );
 
     aButtonDownChangePoint = PixelToLogic( rMEvt.GetPosPixel(),aMMMode );
@@ -1044,8 +1044,8 @@ void ScPreview::MouseButtonDown( const MouseEvent& rMEvt )
 
 void ScPreview::MouseButtonUp( const MouseEvent& rMEvt )
 {
-        Fraction  aPreviewZoom( nZoom, 100 );
-        Fraction  aHorPrevZoom( (long)( 100 * nZoom / pDocShell->GetOutputFactor() ), 10000 );
+        boost::rational<long>  aPreviewZoom( nZoom, 100 );
+        boost::rational<long>  aHorPrevZoom( long( 100 * nZoom / pDocShell->GetOutputFactor() ), 10000 );
         MapMode   aMMMode( MAP_100TH_MM, Point(), aHorPrevZoom, aPreviewZoom );
 
         aButtonUpPt = PixelToLogic( rMEvt.GetPosPixel(),aMMMode );
@@ -1294,8 +1294,8 @@ void ScPreview::MouseButtonUp( const MouseEvent& rMEvt )
 
 void ScPreview::MouseMove( const MouseEvent& rMEvt )
 {
-    Fraction aPreviewZoom( nZoom, 100 );
-    Fraction aHorPrevZoom( (long)( 100 * nZoom / pDocShell->GetOutputFactor() ), 10000 );
+    boost::rational<long> aPreviewZoom( nZoom, 100 );
+    boost::rational<long> aHorPrevZoom( long( 100 * nZoom / pDocShell->GetOutputFactor() ), 10000 );
     MapMode  aMMMode( MAP_100TH_MM, Point(), aHorPrevZoom, aPreviewZoom );
     Point    aMouseMovePoint = PixelToLogic( rMEvt.GetPosPixel(), aMMMode );
 
@@ -1540,8 +1540,8 @@ void ScPreview::SwitchView()
 
 void ScPreview::DragMove( long nDragMovePos, sal_uInt16 nFlags )
 {
-    Fraction aPreviewZoom( nZoom, 100 );
-    Fraction aHorPrevZoom( (long)( 100 * nZoom / pDocShell->GetOutputFactor() ), 10000 );
+    boost::rational<long> aPreviewZoom( nZoom, 100 );
+    boost::rational<long> aHorPrevZoom( long( 100 * nZoom / pDocShell->GetOutputFactor() ), 10000 );
     MapMode  aMMMode( MAP_100TH_MM, Point(), aHorPrevZoom, aPreviewZoom );
     SetMapMode( aMMMode );
     long  nPos = nDragMovePos;
diff --git a/sc/source/ui/view/printfun.cxx b/sc/source/ui/view/printfun.cxx
index bb379604e695..0e2bda3c4421 100644
--- a/sc/source/ui/view/printfun.cxx
+++ b/sc/source/ui/view/printfun.cxx
@@ -1593,7 +1593,7 @@ void ScPrintFunc::PrintArea( SCCOL nX1, SCROW nY1, SCCOL nX2, SCROW nY2,
     if ( !pPrinter )
     {
         OutputDevice* pRefDev = pDoc->GetPrinter();     // use the printer also for Preview
-        Fraction aPrintFrac( nZoom, 100 );              // without nManualZoom
+        boost::rational<long> aPrintFrac( nZoom, 100 ); // without nManualZoom
         //  MapMode, as it would arrive at the printer:
         pRefDev->SetMapMode( MapMode( MAP_100TH_MM, Point(), aPrintFrac, aPrintFrac ) );
 
@@ -2543,13 +2543,13 @@ void ScPrintFunc::InitModes()               // set MapModes from  nZoom etc.
     long nEffZoom = nZoom * (long) nManualZoom;
     nScaleX = nScaleY = HMM_PER_TWIPS;  // output in 1/100 mm
 
-    Fraction aZoomFract( nEffZoom,10000 );
-    Fraction aHorFract = aZoomFract;
+    boost::rational<long> aZoomFract( nEffZoom,10000 );
+    boost::rational<long> aHorFract = aZoomFract;
 
     if ( !pPrinter && !bIsRender )                          // adjust scale for preview
     {
         double nFact = pDocShell->GetOutputFactor();
-        aHorFract = Fraction( (long)( nEffZoom / nFact ), 10000 );
+        aHorFract = boost::rational<long>( long( nEffZoom / nFact ), 10000 );
     }
 
     aLogicMode = MapMode( MAP_100TH_MM, Point(), aHorFract, aZoomFract );
@@ -2557,7 +2557,7 @@ void ScPrintFunc::InitModes()               // set MapModes from  nZoom etc.
     Point aLogicOfs( -aOffset.X(), -aOffset.Y() );
     aOffsetMode = MapMode( MAP_100TH_MM, aLogicOfs, aHorFract, aZoomFract );
 
-    Point aTwipsOfs( (long) ( -aOffset.X() / nScaleX + 0.5 ), (long) ( -aOffset.Y() / nScaleY + 0.5 ) );
+    Point aTwipsOfs( long( -aOffset.X() / nScaleX + 0.5 ), long( -aOffset.Y() / nScaleY + 0.5 ) );
     aTwipMode = MapMode( MAP_TWIP, aTwipsOfs, aHorFract, aZoomFract );
 }
 
diff --git a/sc/source/ui/view/tabview.cxx b/sc/source/ui/view/tabview.cxx
index 9150af64bee9..6802dd0e7bf7 100644
--- a/sc/source/ui/view/tabview.cxx
+++ b/sc/source/ui/view/tabview.cxx
@@ -697,11 +697,11 @@ void ScTabView::UpdateVarZoom()
     if ( eZoomType != SVX_ZOOM_PERCENT && !bInZoomUpdate )
     {
         bInZoomUpdate = true;
-        const Fraction& rOldX = GetViewData().GetZoomX();
-        const Fraction& rOldY = GetViewData().GetZoomY();
-        long nOldPercent = ( rOldY.GetNumerator() * 100 ) / rOldY.GetDenominator();
+        const boost::rational<long>& rOldX = GetViewData().GetZoomX();
+        const boost::rational<long>& rOldY = GetViewData().GetZoomY();
+        long nOldPercent = ( rOldY.numerator() * 100 ) / rOldY.denominator();
         sal_uInt16 nNewZoom = CalcZoom( eZoomType, (sal_uInt16)nOldPercent );
-        Fraction aNew( nNewZoom, 100 );
+        boost::rational<long> aNew( nNewZoom, 100 );
 
         if ( aNew != rOldX || aNew != rOldY )
         {
@@ -924,8 +924,8 @@ bool ScTabView::ScrollCommand( const CommandEvent& rCEvt, ScSplitPos ePos )
             //  for ole inplace editing, the scale is defined by the visarea and client size
             //  and can't be changed directly
 
-            const Fraction& rOldY = aViewData.GetZoomY();
-            long nOld = (long)(( rOldY.GetNumerator() * 100 ) / rOldY.GetDenominator());
+            const boost::rational<long>& rOldY = aViewData.GetZoomY();
+            long nOld = long(( rOldY.numerator() * 100 ) / rOldY.denominator());
             long nNew = nOld;
             if ( pData->GetMode() == COMMAND_WHEEL_ZOOM_SCALE )
             {
@@ -943,7 +943,7 @@ bool ScTabView::ScrollCommand( const CommandEvent& rCEvt, ScSplitPos ePos )
 
                 bool bSyncZoom = SC_MOD()->GetAppOptions().GetSynchronizeZoom();
                 SetZoomType( SVX_ZOOM_PERCENT, bSyncZoom );
-                Fraction aFract( nNew, 100 );
+                boost::rational<long> aFract( nNew, 100 );
                 SetZoom( aFract, aFract, bSyncZoom );
                 PaintGrid();
                 PaintTop();
diff --git a/sc/source/ui/view/tabview2.cxx b/sc/source/ui/view/tabview2.cxx
index c79d356065ae..e19348adeed2 100644
--- a/sc/source/ui/view/tabview2.cxx
+++ b/sc/source/ui/view/tabview2.cxx
@@ -1111,7 +1111,7 @@ static bool lcl_FitsInWindow( double fScaleX, double fScaleY, sal_uInt16 nZoom,
                         SCCOL nStartCol, SCROW nStartRow, SCCOL nEndCol, SCROW nEndRow,
                         SCCOL nFixPosX, SCROW nFixPosY )
 {
-    double fZoomFactor = (double)Fraction(nZoom,100);
+    double fZoomFactor = boost::rational_cast<double>(boost::rational<long>(nZoom, 100));
     fScaleX *= fZoomFactor;
     fScaleY *= fZoomFactor;
 
diff --git a/sc/source/ui/view/tabview3.cxx b/sc/source/ui/view/tabview3.cxx
index 028a5ff6cce9..749f542747d4 100644
--- a/sc/source/ui/view/tabview3.cxx
+++ b/sc/source/ui/view/tabview3.cxx
@@ -2337,8 +2337,8 @@ void ScTabView::RecalcPPT()
         //  call view SetZoom (including draw scale, split update etc)
         //  and paint only if values changed
 
-        Fraction aZoomX = aViewData.GetZoomX();
-        Fraction aZoomY = aViewData.GetZoomY();
+        boost::rational<long> aZoomX = aViewData.GetZoomX();
+        boost::rational<long> aZoomY = aViewData.GetZoomY();
         SetZoom( aZoomX, aZoomY, false );
 
         PaintGrid();
diff --git a/sc/source/ui/view/tabview5.cxx b/sc/source/ui/view/tabview5.cxx
index 4f263d61a450..e5acb09e0b92 100644
--- a/sc/source/ui/view/tabview5.cxx
+++ b/sc/source/ui/view/tabview5.cxx
@@ -370,7 +370,7 @@ void ScTabView::SetZoomType( SvxZoomType eNew, bool bAll )
     aViewData.SetZoomType( eNew, bAll );
 }
 
-void ScTabView::SetZoom( const Fraction& rNewX, const Fraction& rNewY, bool bAll )
+void ScTabView::SetZoom( const boost::rational<long>& rNewX, const boost::rational<long>& rNewY, bool bAll )
 {
     aViewData.SetZoom( rNewX, rNewY, bAll );
     if (pDrawView)
diff --git a/sc/source/ui/view/tabvwsh3.cxx b/sc/source/ui/view/tabvwsh3.cxx
index d32a366b4880..571532633499 100644
--- a/sc/source/ui/view/tabvwsh3.cxx
+++ b/sc/source/ui/view/tabvwsh3.cxx
@@ -627,9 +627,9 @@ void ScTabViewShell::Execute( SfxRequest& rReq )
                 bool bSyncZoom = SC_MOD()->GetAppOptions().GetSynchronizeZoom();
                 SvxZoomType eOldZoomType = GetZoomType();
                 SvxZoomType eNewZoomType = eOldZoomType;
-                const Fraction& rOldY = GetViewData().GetZoomY();  // Y wird angezeigt
-                sal_uInt16 nOldZoom = (sal_uInt16)(( rOldY.GetNumerator() * 100 )
-                                            / rOldY.GetDenominator());
+                const boost::rational<long>& rOldY = GetViewData().GetZoomY();  // Y wird angezeigt
+                sal_uInt16 nOldZoom = (sal_uInt16)(( rOldY.numerator() * 100 )
+                                            / rOldY.denominator());
                 sal_uInt16 nZoom = nOldZoom;
                 bool bCancel = false;
 
@@ -720,7 +720,7 @@ void ScTabViewShell::Execute( SfxRequest& rReq )
                         aNewOpt.SetZoomType( GetZoomType() );
                         pScMod->SetAppOptions( aNewOpt );
                     }
-                    Fraction aFract( nZoom, 100 );
+                    boost::rational<long> aFract( nZoom, 100 );
                     SetZoom( aFract, aFract, bSyncZoom );
                     PaintGrid();
                     PaintTop();
@@ -749,7 +749,7 @@ void ScTabViewShell::Execute( SfxRequest& rReq )
                             aNewOpt.SetZoomType( GetZoomType() );
                             pScMod->SetAppOptions( aNewOpt );
                         }
-                        Fraction aFract( nCurrentZoom,100 );
+                        boost::rational<long> aFract( nCurrentZoom,100 );
                         SetZoom( aFract, aFract, bSyncZoom );
                         PaintGrid();
                         PaintTop();
diff --git a/sc/source/ui/view/tabvwsh4.cxx b/sc/source/ui/view/tabvwsh4.cxx
index f04e93174755..b3c558d9ece0 100644
--- a/sc/source/ui/view/tabvwsh4.cxx
+++ b/sc/source/ui/view/tabvwsh4.cxx
@@ -333,8 +333,8 @@ void ScTabViewShell::UpdateOleZoom()
         {
             vcl::Window* pWin = GetActiveWin();
             Size aWinHMM = pWin->PixelToLogic( pWin->GetOutputSizePixel(), MAP_100TH_MM );
-            SetZoomFactor( Fraction( aWinHMM.Width(),aObjSize.Width() ),
-                            Fraction( aWinHMM.Height(),aObjSize.Height() ) );
+            SetZoomFactor( boost::rational<long>( aWinHMM.Width(),aObjSize.Width() ),
+                            boost::rational<long>( aWinHMM.Height(),aObjSize.Height() ) );
         }
     }
 }
@@ -362,8 +362,8 @@ void ScTabViewShell::InnerResizePixel( const Point &rOfs, const Size &rSize )
         if ( aObjSize.Width() > 0 && aObjSize.Height() > 0 )
         {
             Size aLogicSize = GetWindow()->PixelToLogic( aSize, MAP_100TH_MM );
-            SfxViewShell::SetZoomFactor( Fraction( aLogicSize.Width(),aObjSize.Width() ),
-                            Fraction( aLogicSize.Height(),aObjSize.Height() ) );
+            SfxViewShell::SetZoomFactor( boost::rational<long>( aLogicSize.Width(),aObjSize.Width() ),
+                            boost::rational<long>( aLogicSize.Height(),aObjSize.Height() ) );
         }
 
         Point aPos( rOfs );
@@ -401,19 +401,19 @@ void ScTabViewShell::OuterResizePixel( const Point &rOfs, const Size &rSize )
     ForceMove();
 }
 
-void ScTabViewShell::SetZoomFactor( const Fraction &rZoomX, const Fraction &rZoomY )
+void ScTabViewShell::SetZoomFactor( const boost::rational<long>& rZoomX, const boost::rational<long>& rZoomY )
 {
     //  fuer OLE...
 
-    Fraction aFrac20( 1,5 );
-    Fraction aFrac400( 4,1 );
+    boost::rational<long> aFrac20( 1,5 );
+    boost::rational<long> aFrac400( 4,1 );
 
-    Fraction aNewX( rZoomX );
+    boost::rational<long> aNewX( rZoomX );
     if ( aNewX < aFrac20 )
         aNewX = aFrac20;
     if ( aNewX > aFrac400 )
         aNewX = aFrac400;
-    Fraction aNewY( rZoomY );
+    boost::rational<long> aNewY( rZoomY );
     if ( aNewY < aFrac20 )
         aNewY = aFrac20;
     if ( aNewY > aFrac400 )
@@ -1727,7 +1727,7 @@ ScTabViewShell::ScTabViewShell( SfxViewFrame* pViewFrame,
     }
     else
     {
-        Fraction aFract( rAppOpt.GetZoom(), 100 );
+        boost::rational<long> aFract( rAppOpt.GetZoom(), 100 );
         SetZoom( aFract, aFract, true );
         SetZoomType( rAppOpt.GetZoomType(), true );
     }
diff --git a/sc/source/ui/view/tabvwsha.cxx b/sc/source/ui/view/tabvwsha.cxx
index adde73054bbb..5c2727a50667 100644
--- a/sc/source/ui/view/tabvwsha.cxx
+++ b/sc/source/ui/view/tabvwsha.cxx
@@ -287,9 +287,8 @@ void ScTabViewShell::GetState( SfxItemSet& rSet )
                     rSet.DisableItem( nWhich );
                 else
                 {
-                    const Fraction& rOldY = GetViewData().GetZoomY();
-                    sal_uInt16 nZoom = (sal_uInt16)(( rOldY.GetNumerator() * 100 )
-                                                / rOldY.GetDenominator());
+                    const boost::rational<long>& rOldY = GetViewData().GetZoomY();
+                    sal_uInt16 nZoom = (sal_uInt16)(( rOldY.numerator() * 100 ) / rOldY.denominator());
                     rSet.Put( SvxZoomItem( SVX_ZOOM_PERCENT, nZoom, nWhich ) );
                 }
                 break;
@@ -300,8 +299,8 @@ void ScTabViewShell::GetState( SfxItemSet& rSet )
                         rSet.DisableItem( nWhich );
                     else
                     {
-                        const Fraction& rOldY = GetViewData().GetZoomY();
-                        sal_uInt16 nCurrentZoom = (sal_uInt16)(( rOldY.GetNumerator() * 100 ) / rOldY.GetDenominator());
+                        const boost::rational<long>& rOldY = GetViewData().GetZoomY();
+                        sal_uInt16 nCurrentZoom = (sal_uInt16)(( rOldY.numerator() * 100 ) / rOldY.denominator());
 
                         if( nCurrentZoom )
                         {
diff --git a/sc/source/ui/view/tabvwshb.cxx b/sc/source/ui/view/tabvwshb.cxx
index 5e635b01fca9..e010c86f07ac 100644
--- a/sc/source/ui/view/tabvwshb.cxx
+++ b/sc/source/ui/view/tabvwshb.cxx
@@ -85,10 +85,10 @@ void ScTabViewShell::ConnectObject( SdrOle2Obj* pObj )
 
         Size aOleSize = pObj->GetOrigObjSize();
 
-        Fraction aScaleWidth (aDrawSize.Width(),  aOleSize.Width() );
-        Fraction aScaleHeight(aDrawSize.Height(), aOleSize.Height() );
-        aScaleWidth.ReduceInaccurate(10);       // kompatibel zum SdrOle2Obj
-        aScaleHeight.ReduceInaccurate(10);
+        boost::rational<long> aScaleWidth (aDrawSize.Width(),  aOleSize.Width() );
+        boost::rational<long> aScaleHeight(aDrawSize.Height(), aOleSize.Height() );
+        rational_ReduceInaccurate(aScaleWidth, 10);       // kompatibel zum SdrOle2Obj
+        rational_ReduceInaccurate(aScaleHeight, 10);
         pClient->SetSizeScale(aScaleWidth,aScaleHeight);
 
         // sichtbarer Ausschnitt wird nur inplace veraendert!
@@ -145,17 +145,17 @@ bool ScTabViewShell::ActivateObject( SdrOle2Obj* pObj, long nVerb )
                     awt::Size aSz( aOleSize.Width(), aOleSize.Height() );
                     xObj->setVisualAreaSize( pClient->GetAspect(), aSz );
                 }
-                Fraction aOne( 1, 1 );
+                boost::rational<long> aOne( 1, 1 );
                 pClient->SetSizeScale( aOne, aOne );
             }
             else
             {
                 //  calculate scale from client and VisArea size
 
-                Fraction aScaleWidth (aDrawSize.Width(),  aOleSize.Width() );
-                Fraction aScaleHeight(aDrawSize.Height(), aOleSize.Height() );
-                aScaleWidth.ReduceInaccurate(10);       // kompatibel zum SdrOle2Obj
-                aScaleHeight.ReduceInaccurate(10);
+                boost::rational<long> aScaleWidth (aDrawSize.Width(),  aOleSize.Width() );
+                boost::rational<long> aScaleHeight(aDrawSize.Height(), aOleSize.Height() );
+                rational_ReduceInaccurate(aScaleWidth, 10);       // kompatibel zum SdrOle2Obj
+                rational_ReduceInaccurate(aScaleHeight, 10);
                 pClient->SetSizeScale(aScaleWidth,aScaleHeight);
             }
 
diff --git a/sc/source/ui/view/tabvwshh.cxx b/sc/source/ui/view/tabvwshh.cxx
index e427e1fae490..46503dae69a7 100644
--- a/sc/source/ui/view/tabvwshh.cxx
+++ b/sc/source/ui/view/tabvwshh.cxx
@@ -121,12 +121,12 @@ void ScTabViewShell::ExecuteObject( SfxRequest& rReq )
                                 pDrView->MoveMarkedObj( Size( 0, nNewVal - aRect.Top() ) );
                             else if ( nSlotId == SID_OBJECT_WIDTH )
                                 pDrView->ResizeMarkedObj( aRect.TopLeft(),
-                                                Fraction( nNewVal, aRect.GetWidth() ),
-                                                Fraction( 1, 1 ) );
+                                                boost::rational<long>( nNewVal, aRect.GetWidth() ),
+                                                boost::rational<long>( 1, 1 ) );
                             else // if ( nSlotId == SID_OBJECT_HEIGHT )
                                 pDrView->ResizeMarkedObj( aRect.TopLeft(),
-                                                Fraction( 1, 1 ),
-                                                Fraction( nNewVal, aRect.GetHeight() ) );
+                                                boost::rational<long>( 1, 1 ),
+                                                boost::rational<long>( nNewVal, aRect.GetHeight() ) );
                             bDone = true;
                         }
                     }
diff --git a/sc/source/ui/view/viewdata.cxx b/sc/source/ui/view/viewdata.cxx
index af08c7080b74..1dd2d255a0d7 100644
--- a/sc/source/ui/view/viewdata.cxx
+++ b/sc/source/ui/view/viewdata.cxx
@@ -144,8 +144,8 @@ void ScViewDataTable::WriteUserDataSequence(uno::Sequence <beans::PropertyValue>
         pSettings[SC_POSITION_BOTTOM].Name = OUString(SC_POSITIONBOTTOM);
         pSettings[SC_POSITION_BOTTOM].Value <<= sal_Int32(nPosY[SC_SPLIT_BOTTOM]);
 
-        sal_Int32 nZoomValue ((aZoomY.GetNumerator() * 100) / aZoomY.GetDenominator());
-        sal_Int32 nPageZoomValue ((aPageZoomY.GetNumerator() * 100) / aPageZoomY.GetDenominator());
+        sal_Int32 nZoomValue ((aZoomY.numerator() * 100) / aZoomY.denominator());
+        sal_Int32 nPageZoomValue ((aPageZoomY.numerator() * 100) / aPageZoomY.denominator());
         pSettings[SC_TABLE_ZOOM_TYPE].Name = OUString(SC_ZOOMTYPE);
         pSettings[SC_TABLE_ZOOM_TYPE].Value <<= sal_Int16(eZoomType);
         pSettings[SC_TABLE_ZOOM_VALUE].Name = OUString(SC_ZOOMVALUE);
@@ -248,14 +248,14 @@ void ScViewDataTable::ReadUserDataSequence(const uno::Sequence <beans::PropertyV
         else if (sName.equalsAscii(SC_ZOOMVALUE) )
         {
             aSettings[i].Value >>= nTemp32;
-            Fraction aZoom(nTemp32, 100);
+            boost::rational<long> aZoom(nTemp32, 100);
             aZoomX = aZoomY = aZoom;
             rHasZoom = true;
         }
         else if (sName.equalsAscii(SC_PAGEVIEWZOOMVALUE) )
         {
             aSettings[i].Value >>= nTemp32;
-            Fraction aZoom(nTemp32, 100);
+            boost::rational<long> aZoom(nTemp32, 100);
             aPageZoomX = aPageZoomY = aZoom;
             rHasZoom = true;
         }
@@ -616,21 +616,21 @@ void ScViewData::SetZoomType( SvxZoomType eNew, bool bAll )
     SetZoomType( eNew, vTabs );
 }
 
-void ScViewData::SetZoom( const Fraction& rNewX, const Fraction& rNewY, std::vector< SCTAB >& tabs )
+void ScViewData::SetZoom( const boost::rational<long>& rNewX, const boost::rational<long>& rNewY, std::vector< SCTAB >& tabs )
 {
     bool bAll = ( tabs.empty() );
     if ( !bAll ) // create associated table data
         CreateTabData( tabs );
-    Fraction aFrac20( 1,5 );
-    Fraction aFrac400( 4,1 );
+    boost::rational<long> aFrac20( 1,5 );
+    boost::rational<long> aFrac400( 4,1 );
 
-    Fraction aValidX = rNewX;
+    boost::rational<long> aValidX = rNewX;
     if (aValidX<aFrac20)
         aValidX = aFrac20;
     if (aValidX>aFrac400)
         aValidX = aFrac400;
 
-    Fraction aValidY = rNewY;
+    boost::rational<long> aValidY = rNewY;
     if (aValidY<aFrac20)
         aValidY = aFrac20;
     if (aValidY>aFrac400)
@@ -690,7 +690,7 @@ void ScViewData::SetZoom( const Fraction& rNewX, const Fraction& rNewY, std::vec
     RefreshZoom();
 }
 
-void ScViewData::SetZoom( const Fraction& rNewX, const Fraction& rNewY, bool bAll )
+void ScViewData::SetZoom( const boost::rational<long>& rNewX, const boost::rational<long>& rNewY, bool bAll )
 {
     std::vector< SCTAB > vTabs;
     if ( !bAll ) // get selected tabs
@@ -1033,7 +1033,7 @@ void ScViewData::SetEditEngine( ScSplitPos eWhich,
             //  if text is formatted for printer, use the exact same paper width
             //  (and same line breaks) as for output.
 
-            Fraction aFract(1,1);
+            boost::rational<long> aFract(1,1);
             Rectangle aUtilRect = ScEditUtil( pDoc,nNewX,nNewY,nTabNo, Point(0,0), pWin,
                                     HMM_PER_TWIPS, HMM_PER_TWIPS, aFract, aFract ).GetEditArea( pPattern, false );
             aPaperSize.Width() = aUtilRect.GetWidth();
@@ -2120,31 +2120,31 @@ bool ScViewData::IsMinimized()
     return pView->IsMinimized();
 }
 
-void ScViewData::UpdateScreenZoom( const Fraction& rNewX, const Fraction& rNewY )
+void ScViewData::UpdateScreenZoom( const boost::rational<long>& rNewX, const boost::rational<long>& rNewY )
 {
-    Fraction aOldX = GetZoomX();
-    Fraction aOldY = GetZoomY();
+    boost::rational<long> aOldX = GetZoomX();
+    boost::rational<long> aOldY = GetZoomY();
 
     SetZoom( rNewX, rNewY, false );
 
-    Fraction aWidth = GetZoomX();
-    aWidth *= Fraction( aScrSize.Width(),1 );
+    boost::rational<long> aWidth = GetZoomX();
+    aWidth *= aScrSize.Width();
     aWidth /= aOldX;
 
-    Fraction aHeight = GetZoomY();
-    aHeight *= Fraction( aScrSize.Height(),1 );
+    boost::rational<long> aHeight = GetZoomY();
+    aHeight *= aScrSize.Height();
     aHeight /= aOldY;
 
-    aScrSize.Width()  = (long) aWidth;
-    aScrSize.Height() = (long) aHeight;
+    aScrSize.Width()  = boost::rational_cast<long>(aWidth);
+    aScrSize.Height() = boost::rational_cast<long>(aHeight);
 }
 
 void ScViewData::CalcPPT()
 {
-    nPPTX = ScGlobal::nScreenPPTX * (double) GetZoomX();
+    nPPTX = ScGlobal::nScreenPPTX * boost::rational_cast<double>(this->GetZoomX());
     if (pDocShell)
         nPPTX = nPPTX / pDocShell->GetOutputFactor();   // Faktor ist Drucker zu Bildschirm
-    nPPTY = ScGlobal::nScreenPPTY * (double) GetZoomY();
+    nPPTY = ScGlobal::nScreenPPTY * boost::rational_cast<double>(this->GetZoomY());
 
     //  if detective objects are present,
     //  try to adjust horizontal scale so the most common column width has minimal rounding errors,
@@ -2192,9 +2192,9 @@ void ScViewData::WriteUserData(OUString& rData)
     //  PosX[links]/PosX[rechts]/PosY[oben]/PosY[unten]
     //  wenn Zeilen groesser 8192, "+" statt "/"
 
-    sal_uInt16 nZoom = (sal_uInt16)((pThisTab->aZoomY.GetNumerator() * 100) / pThisTab->aZoomY.GetDenominator());
+    sal_uInt16 nZoom = (sal_uInt16)((pThisTab->aZoomY.numerator() * 100) / pThisTab->aZoomY.denominator());
     rData = OUString::number( nZoom ) + "/";
-    nZoom = (sal_uInt16)((pThisTab->aPageZoomY.GetNumerator() * 100) / pThisTab->aPageZoomY.GetDenominator());
+    nZoom = (sal_uInt16)((pThisTab->aPageZoomY.numerator() * 100) / pThisTab->aPageZoomY.denominator());
     rData += OUString::number( nZoom ) + "/";
     if (bPagebreak)
         rData += "1";
@@ -2259,15 +2259,15 @@ void ScViewData::ReadUserData(const OUString& rData)
     // nicht pro Tabelle:
     SCTAB nTabStart = 2;
 
-    Fraction aZoomX, aZoomY, aPageZoomX, aPageZoomY;    // evaluate (all sheets?)
+    boost::rational<long> aZoomX, aZoomY, aPageZoomX, aPageZoomY;    // evaluate (all sheets?)
 
     OUString aZoomStr = rData.getToken(0, ';');                 // Zoom/PageZoom/Modus
     sal_uInt16 nNormZoom = sal::static_int_cast<sal_uInt16>(aZoomStr.getToken(0,'/').toInt32());
     if ( nNormZoom >= MINZOOM && nNormZoom <= MAXZOOM )
-        aZoomX = aZoomY = Fraction( nNormZoom, 100 );           //  "normal" zoom (always)
+        aZoomX = aZoomY = boost::rational<long>( nNormZoom, 100 );           //  "normal" zoom (always)
     sal_uInt16 nPageZoom = sal::static_int_cast<sal_uInt16>(aZoomStr.getToken(1,'/').toInt32());
     if ( nPageZoom >= MINZOOM && nPageZoom <= MAXZOOM )
-        aPageZoomX = aPageZoomY = Fraction( nPageZoom, 100 );   // Pagebreak-zoom, if set
+        aPageZoomX = aPageZoomY = boost::rational<long>( nPageZoom, 100 );   // Pagebreak-zoom, if set
     sal_Unicode cMode = aZoomStr.getToken(2,'/')[0];            // 0 or "0"/"1"
     SetPagebreakMode( cMode == '1' );
     // SetPagebreakMode muss immer gerufen werden wegen CalcPPT / RecalcPixPos()
@@ -2447,8 +2447,8 @@ void ScViewData::WriteExtOptions( ScExtDocOptions& rDocOpt ) const
 
             // view mode and zoom
             rTabSett.mbPageMode = bPagebreak;
-            rTabSett.mnNormalZoom = static_cast< long >( pViewTab->aZoomY * Fraction( 100.0 ) );
-            rTabSett.mnPageZoom = static_cast< long >( pViewTab->aPageZoomY * Fraction( 100.0 ) );
+            rTabSett.mnNormalZoom = boost::rational_cast<long>(pViewTab->aZoomY * rational_FromDouble(100.));
+            rTabSett.mnPageZoom = boost::rational_cast<long>(pViewTab->aPageZoomY * rational_FromDouble(100.));
         }
     }
 }
@@ -2579,9 +2579,9 @@ void ScViewData::ReadExtOptions( const ScExtDocOptions& rDocOpt )
 
             // zoom for each sheet
             if( rTabSett.mnNormalZoom )
-                rViewTab.aZoomX = rViewTab.aZoomY = Fraction( rTabSett.mnNormalZoom, 100L );
+                rViewTab.aZoomX = rViewTab.aZoomY = boost::rational<long>( rTabSett.mnNormalZoom, 100L );
             if( rTabSett.mnPageZoom )
-                rViewTab.aPageZoomX = rViewTab.aPageZoomY = Fraction( rTabSett.mnPageZoom, 100L );
+                rViewTab.aPageZoomX = rViewTab.aPageZoomY = boost::rational<long>( rTabSett.mnPageZoom, 100L );
 
             rViewTab.bShowGrid = rTabSett.mbShowGrid;
 
@@ -2599,9 +2599,9 @@ void ScViewData::ReadExtOptions( const ScExtDocOptions& rDocOpt )
 
                 // view mode and default zoom (for new sheets) from current sheet
                 if( rTabSett.mnNormalZoom )
-                    aDefZoomX = aDefZoomY = Fraction( rTabSett.mnNormalZoom, 100L );
+                    aDefZoomX = aDefZoomY = boost::rational<long>( rTabSett.mnNormalZoom, 100L );
                 if( rTabSett.mnPageZoom )
-                    aDefPageZoomX = aDefPageZoomY = Fraction( rTabSett.mnPageZoom, 100L );
+                    aDefPageZoomX = aDefPageZoomY = boost::rational<long>( rTabSett.mnPageZoom, 100L );
                 /*  #i46820# set pagebreak mode via SetPagebreakMode(), this will
                     update map modes that are needed to draw text correctly. */
                 SetPagebreakMode( rTabSett.mbPageMode );
@@ -2662,8 +2662,8 @@ void ScViewData::WriteUserDataSequence(uno::Sequence <beans::PropertyValue>& rSe
         pSettings[SC_ACTIVE_TABLE].Value <<= sName;
         pSettings[SC_HORIZONTAL_SCROLL_BAR_WIDTH].Name = OUString(SC_HORIZONTALSCROLLBARWIDTH);
         pSettings[SC_HORIZONTAL_SCROLL_BAR_WIDTH].Value <<= sal_Int32(pView->GetTabBarWidth());
-        sal_Int32 nZoomValue ((pThisTab->aZoomY.GetNumerator() * 100) / pThisTab->aZoomY.GetDenominator());
-        sal_Int32 nPageZoomValue ((pThisTab->aPageZoomY.GetNumerator() * 100) / pThisTab->aPageZoomY.GetDenominator());
+        sal_Int32 nZoomValue ((pThisTab->aZoomY.numerator() * 100) / pThisTab->aZoomY.denominator());
+        sal_Int32 nPageZoomValue ((pThisTab->aPageZoomY.numerator() * 100) / pThisTab->aPageZoomY.denominator());
         pSettings[SC_ZOOM_TYPE].Name = OUString(SC_ZOOMTYPE);
         pSettings[SC_ZOOM_TYPE].Value <<= sal_Int16(pThisTab->eZoomType);
         pSettings[SC_ZOOM_VALUE].Name = OUString(SC_ZOOMVALUE);
@@ -2787,7 +2787,7 @@ void ScViewData::ReadUserDataSequence(const uno::Sequence <beans::PropertyValue>
         {
             if (rSettings[i].Value >>= nTemp32)
             {
-                Fraction aZoom(nTemp32, 100);
+                boost::rational<long> aZoom(nTemp32, 100);
                 aDefZoomX = aDefZoomY = aZoom;
             }
         }
@@ -2795,7 +2795,7 @@ void ScViewData::ReadUserDataSequence(const uno::Sequence <beans::PropertyValue>
         {
             if (rSettings[i].Value >>= nTemp32)
             {
-                Fraction aZoom(nTemp32, 100);
+                boost::rational<long> aZoom(nTemp32, 100);
                 aDefPageZoomX = aDefPageZoomY = aZoom;
             }
         }
diff --git a/sc/source/ui/view/viewfun2.cxx b/sc/source/ui/view/viewfun2.cxx
index 1f395fc4aad6..4a69e92182b0 100644
--- a/sc/source/ui/view/viewfun2.cxx
+++ b/sc/source/ui/view/viewfun2.cxx
@@ -114,15 +114,15 @@ bool ScViewFunc::AdjustBlockHeight( bool bPaint, ScMarkData* pMarkData )
 
     double nPPTX = GetViewData().GetPPTX();
     double nPPTY = GetViewData().GetPPTY();
-    Fraction aZoomX = GetViewData().GetZoomX();
-    Fraction aZoomY = GetViewData().GetZoomY();
+    boost::rational<long> aZoomX = GetViewData().GetZoomX();
+    boost::rational<long> aZoomY = GetViewData().GetZoomY();
 
     ScSizeDeviceProvider aProv(pDocSh);
     if (aProv.IsPrinter())
     {
         nPPTX = aProv.GetPPTX();
         nPPTY = aProv.GetPPTY();
-        aZoomX = aZoomY = Fraction( 1, 1 );
+        aZoomX = aZoomY = boost::rational<long>( 1, 1 );
     }
 
     sc::RowHeightContext aCxt(nPPTX, nPPTY, aZoomX, aZoomY, aProv.GetDevice());
@@ -163,8 +163,8 @@ bool ScViewFunc::AdjustRowHeight( SCROW nStartRow, SCROW nEndRow, bool bPaint )
     SCTAB nTab = GetViewData().GetTabNo();
     double nPPTX = GetViewData().GetPPTX();
     double nPPTY = GetViewData().GetPPTY();
-    Fraction aZoomX = GetViewData().GetZoomX();
-    Fraction aZoomY = GetViewData().GetZoomY();
+    boost::rational<long> aZoomX = GetViewData().GetZoomX();
+    boost::rational<long> aZoomY = GetViewData().GetZoomY();
     sal_uInt16 nOldPixel = 0;
     if (nStartRow == nEndRow)
         nOldPixel = (sal_uInt16) (rDoc.GetRowHeight(nStartRow,nTab) * nPPTY);
@@ -174,7 +174,7 @@ bool ScViewFunc::AdjustRowHeight( SCROW nStartRow, SCROW nEndRow, bool bPaint )
     {
         nPPTX = aProv.GetPPTX();
         nPPTY = aProv.GetPPTY();
-        aZoomX = aZoomY = Fraction( 1, 1 );
+        aZoomX = aZoomY = boost::rational<long>( 1, 1 );
     }
     sc::RowHeightContext aCxt(nPPTX, nPPTY, aZoomX, aZoomY, aProv.GetDevice());
     bool bChanged = rDoc.SetOptimalHeight(aCxt, nStartRow, nEndRow, nTab);
diff --git a/sc/source/ui/view/viewfun7.cxx b/sc/source/ui/view/viewfun7.cxx
index b937eb3bf121..1e27dd1e9be1 100644
--- a/sc/source/ui/view/viewfun7.cxx
+++ b/sc/source/ui/view/viewfun7.cxx
@@ -420,7 +420,7 @@ bool ScViewFunc::PasteGraphic( const Point& rPos, const Graphic& rGraphic,
     if (aSourceMap.GetMapUnit() == MAP_PIXEL)
     {
         // consider pixel correction, so bitmap fits to screen
-        Fraction aScaleX, aScaleY;
+        boost::rational<long> aScaleX, aScaleY;
         pScDrawView->CalcNormScale( aScaleX, aScaleY );
         aDestMap.SetScaleX(aScaleX);
         aDestMap.SetScaleY(aScaleY);
diff --git a/sc/source/ui/view/viewfunc.cxx b/sc/source/ui/view/viewfunc.cxx
index f1ab1ebd8dba..3ed06d2db3de 100644
--- a/sc/source/ui/view/viewfunc.cxx
+++ b/sc/source/ui/view/viewfunc.cxx
@@ -228,15 +228,15 @@ sal_uInt16 ScViewFunc::GetOptimalColWidth( SCCOL nCol, SCTAB nTab, bool bFormula
 
     double nPPTX = GetViewData().GetPPTX();
     double nPPTY = GetViewData().GetPPTY();
-    Fraction aZoomX = GetViewData().GetZoomX();
-    Fraction aZoomY = GetViewData().GetZoomY();
+    boost::rational<long> aZoomX = GetViewData().GetZoomX();
+    boost::rational<long> aZoomY = GetViewData().GetZoomY();
 
     ScSizeDeviceProvider aProv(pDocSh);
     if (aProv.IsPrinter())
     {
         nPPTX = aProv.GetPPTX();
         nPPTY = aProv.GetPPTY();
-        aZoomX = aZoomY = Fraction( 1, 1 );
+        aZoomX = aZoomY = boost::rational<long>( 1, 1 );
     }
 
     sal_uInt16 nTwips = rDoc.GetOptimalColWidth( nCol, nTab, aProv.GetDevice(),
@@ -2031,15 +2031,15 @@ void ScViewFunc::SetWidthOrHeight(
 
                     double nPPTX = GetViewData().GetPPTX();
                     double nPPTY = GetViewData().GetPPTY();
-                    Fraction aZoomX = GetViewData().GetZoomX();
-                    Fraction aZoomY = GetViewData().GetZoomY();
+                    boost::rational<long> aZoomX = GetViewData().GetZoomX();
+                    boost::rational<long> aZoomY = GetViewData().GetZoomY();
 
                     ScSizeDeviceProvider aProv(pDocSh);
                     if (aProv.IsPrinter())
                     {
                         nPPTX = aProv.GetPPTX();
                         nPPTY = aProv.GetPPTY();
-                        aZoomX = aZoomY = Fraction( 1, 1 );
+                        aZoomX = aZoomY = boost::rational<long>( 1, 1 );
                     }
 
                     sc::RowHeightContext aCxt(nPPTX, nPPTY, aZoomX, aZoomY, aProv.GetDevice());
@@ -2265,15 +2265,15 @@ void ScViewFunc::ModifyCellSize( ScDirection eDir, bool bOptimal )
             {
                 double nPPTX = GetViewData().GetPPTX();
                 double nPPTY = GetViewData().GetPPTY();
-                Fraction aZoomX = GetViewData().GetZoomX();
-                Fraction aZoomY = GetViewData().GetZoomY();
+                boost::rational<long> aZoomX = GetViewData().GetZoomX();
+                boost::rational<long> aZoomY = GetViewData().GetZoomY();
 
                 ScSizeDeviceProvider aProv(pDocSh);
                 if (aProv.IsPrinter())
                 {
                     nPPTX = aProv.GetPPTX();
                     nPPTY = aProv.GetPPTY();
-                    aZoomX = aZoomY = Fraction( 1, 1 );
+                    aZoomX = aZoomY = boost::rational<long>( 1, 1 );
                 }
 
                 long nPixel = rDoc.GetNeededSize( nCol, nRow, nTab, aProv.GetDevice(),