DOCUMENT:Q185479 13-MAY-1998 [vbwin] TITLE :Display a Number as a Fraction PRODUCT :Microsoft Visual Basic for Windows PROD/VER: OPER/SYS: KEYWORDS: ====================================================================== --------------------------------------------------------------------- The information in this article applies to: - Microsoft Visual Basic for Applications version 5.0 --------------------------------------------------------------------- SUMMARY ======= This article provides three routines to convert a decimal fraction to the form "a b/c". MORE INFORMATION ================ Microsoft provides programming examples for illustration only, without warranty either expressed or implied, including, but not limited to, the implied warranties of merchantability and/or fitness for a particular purpose. This article assumes that you are familiar with the programming language being demonstrated and the tools used to create and debug procedures. Microsoft support engineers can help explain the functionality of a particular procedure, but they will not modify these examples to provide added functionality or construct procedures to meet your specific needs. If you have limited programming experience, you may want to contact the Microsoft fee-based consulting line at (800) 936-5200. For more information about the support options available from Microsoft, please see the following page on the World Wide Web: http://www.microsoft.com/support/supportnet/refguide/default.asp In many instances, it is useful to be able to output a decimal value as a fraction in the form "a/b" or "a b/c". This article provides three routines that perform that function. Function Description -------- ----------- Frac2Num Returns a normalized fraction with the denominator in the range of 2..8. Frac2NumA Returns a non-normalized fraction with the denominator you specify. Frac2NumB Returns a normalized fraction based on a denominator you specify. A normalized fraction contains the smallest possible denominator. The GCF() function (Greatest Common Factor) is used in the normalization process. Example ------- Non-normalized : 4/6 Normalized : 2/3 Sample Code ----------- 1. Create a new project and add the following code to a Module: Function Num2Frac (ByVal X As Double) As String Dim Fixed As Double, Temp As String X = Abs(X) Fixed = Int(X) If Fixed > 0 Then Temp = CStr(Fixed) End If Select Case X - Fixed Case .1 To .145 Temp = Temp + " 1/8" Case .145 To .182 Temp = Temp + " 1/6" Case .182 To .225 Temp = Temp + " 1/5" Case .225 To .29 Temp = Temp + " 1/4" Case .29 To .35 Temp = Temp + " 1/3" Case .35 To .3875 Temp = Temp + " 3/8" Case .3875 To .45 Temp = Temp + " 2/5" Case .45 To .55 Temp = Temp + " 1/2" Case .55 To .6175 Temp = Temp + " 3/5" Case .6175 To .64 Temp = Temp + " 5/8" Case .64 To .7 Temp = Temp + " 2/3" Case .7 To .775 Temp = Temp + " 3/4" Case .775 To .8375 Temp = Temp + " 4/5" Case .8735 To .91 Temp = Temp + " 7/8" Case Is > .91 Temp = CStr(Int(X) + 1) End Select Num2Frac = Temp End Function Function Num2FracA (ByVal X As Double, _ ByVal Denominator As Long) As String Dim Temp As String, Fixed As Double, Numerator As Long X = Abs(X) Fixed = Int(X) Numerator = Int((X - Fixed) * Denominator + .5) ' Rounding If Numerator = Denominator Then Fixed = Fixed + 1 Numerator = 0 End If If Fixed > 0 Then Temp = CStr(Fixed) If Numerator > 0 Then Temp = Trim$(Temp & " " & Numerator & "/" & Denominator) End If Num2FracA = Temp End Function Function Num2FracB (ByVal X As Double, _ ByVal Denominator As Long) As String Dim Temp As String, Fixed As Double, Numerator As Long Dim Factor As Long X = Abs(X) Fixed = Int(X) Numerator = Int((X - Fixed) * Denominator + .5) ' Rounding If Numerator = Denominator Then Fixed = Fixed + 1 Numerator = 0 End If If Fixed > 0 Then Temp = CStr(Fixed) End If If Numerator > 0 Then Factor = GCF(Numerator, Denominator) ' Factor for normalization. Temp = Trim$(Temp & " " & Numerator / Factor & "/" & _ Denominator / Factor) End If Num2FracB = Temp End Function Function GCF (ByVal X As Long, ByVal Y As Long) As Long ' ' Returns the Greatest Common Factor. ' The largest number that will evenly divide into both X and Y. ' Dim Temp As Long X = Abs(X) ' Make both numbers positive. Y = Abs(Y) Temp = X Mod Y Do While Temp > 0 X = Y Y = Temp Temp = X Mod Y Loop GCF = Y End Function 2. Run the project and then press CTRL+BREAK to pause. 3. In the Debug/Immediate window, type the following: ?Num2Frac(3.54), Num2FracA(3.54,8), Num2FracB(3.54,8) Results: 3 1/2 3 4/8 3 1/2 REFERENCES ========== For more information about getting help with Visual Basic for Applications, please see the following article in the Microsoft Knowledge Base: ARTICLE-ID: Q163435 TITLE : VBA: Programming Resources for Visual Basic for Applications (c) Microsoft Corporation 1998, All Rights Reserved. Contributions by Malcolm Stewart, Microsoft Corporation Additional query words: vba kbVBA kbVBp kbdta ====================================================================== Issue type : kbhowto kbinfo ============================================================================= THE INFORMATION PROVIDED IN THE MICROSOFT KNOWLEDGE BASE IS PROVIDED "AS IS" WITHOUT WARRANTY OF ANY KIND. MICROSOFT DISCLAIMS ALL WARRANTIES, EITHER EXPRESS OR IMPLIED, INCLUDING THE WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. IN NO EVENT SHALL MICROSOFT CORPORATION OR ITS SUPPLIERS BE LIABLE FOR ANY DAMAGES WHATSOEVER INCLUDING DIRECT, INDIRECT, INCIDENTAL, CONSEQUENTIAL, LOSS OF BUSINESS PROFITS OR SPECIAL DAMAGES, EVEN IF MICROSOFT CORPORATION OR ITS SUPPLIERS HAVE BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES. SOME STATES DO NOT ALLOW THE EXCLUSION OR LIMITATION OF LIABILITY FOR CONSEQUENTIAL OR INCIDENTAL DAMAGES SO THE FOREGOING LIMITATION MAY NOT APPLY. Copyright Microsoft Corporation 1998.