Why Rationalise or Canonise Fractions before Addition | Maths Explanation for Visual Basic Kids
In this Visual Basic tutorial for junior secondary students, we explore how to add fractions. Before performing the addition,
we rationalise or canonise the fractions to ensure accuracy. This method uses Finding LCM in Visual Basic
class to align denominators, making it ideal for math programming beginners.
This Visual Basic tutorial teaches young students how to add fractions with different denominators.
Before fractions are added, they are rationalised; i.e., they are put in a form where their denominators become
the same. This identical denominator is the LCM of the previous denominators of all the separate fractions.
After this is done, the new numerators can then be added together.
Step-by-Step Guide for Addition of Fractions - Visual Basic Algorithm
The following steps will guide us in writing our Visual Basic code for adding fractions.
Let's illustrate the steps to follow with the example fractional expression
2/5 + 7/4
Step 1:
Using the Find LCM in Visual Basic
class from the Primary Category, find the LCM of the denominators.
⇒ LCM of 5 & 4 = 20
Step 2:
In a turn by turn fashion, divide the found LCM from Step 1
by each denominator, multiplying the quotient by the corresponding numerator.
⇒
((2 x 4) + (7 x 5))/20
= (8 + 35)/20
Step 3:
Go ahead and add the numerators.
⇒
43/20
Create a new VB.Net class file; Project, Add Class.
Call it AddFraction.vb.
Optionally, Create a new VB.Net module file; Project, Add Module.
Call it AddFractionModule.vb.
Type out the adjoining Visual Basic (VB.Net) codes for adding fractions.
Note: The code module for Learn how to find LCM in Visual Basic
is from the Primary Category.
Create a new VB.Net class file called LCM in your current project and copy the L.C.M. code into it.
You can instead comment out the previous VB.Net code from the main module
or simply continue from where it stopped.
So! Visual Basic Fun Practice Exercise - Add Fractions
As a fun practice exercise, feel free to try out your own fractions with different numerators and denominators, and see how the Visual Basic code adds these fractions.
VB.Net Code for Adding Fractions - Class File
Protected numerators() As Integer
Protected denominators() As Integer
Protected new_numerators() As Integer
Protected lcm As Integer
Protected answer As Integer
' Simulate a constructor
Public Sub _init_(fractions As Dictionary(Of String, Integer()))
numerators = fractions.Item("numerators")
denominators = fractions.Item("denominators")
ReDim new_numerators(numerators.Count - 1)
answer = 0
End Sub
' transforms fractions so they all have same denominator
' takes a dictionary Of a list Of numerators And denominators
'
' returns a dictionary Of the New numerators And New denominator(LCM)
Protected Sub canonizeFraction()
' STEP 1:
Dim l_c_m As New LCM
l_c_m._init_(denominators)
lcm = l_c_m.getLCM()
' STEP 2:
' make numerators vary(ratio) With lcm
For index = 0 To denominators.Count - 1
new_numerators(index) = CInt(lcm / denominators(index) * numerators(index))
Next index
End Sub
' returns a dictionary Of the
' New numerator And New denominator(LCM)
Public Function doAdd() As Dictionary(Of String, Integer)
canonizeFraction()
' STEP 3:
' add all transformed numerators
For Each num In new_numerators
answer += num
Next
Dim send_back As New Dictionary(Of String, Integer)
send_back.Add("numerator", answer)
send_back.Add("denominator", LCM)
Return send_back
End Function
End Class
VB.Net Code for Adding Fractions - Main Module
Sub Main()
''
' Adding fractions
''
Dim numerators = {1, 1, 1, 1}
Dim denominators = {4, 4, 4, 4}
Dim fractions As New Dictionary(Of String, Integer())
fractions.Add("numerators", numerators)
fractions.Add("denominators", denominators)
Console.WriteLine(" Solving:")
' Print as fraction
For Each numerator In fractions.Item("numerators")
Console.Write(String.Format("{0,13}", numerator))
Next
Console.Write(Environment.NewLine & String.Format("{0,12}", " "))
For wasted = 0 To numerators.Count - 2
Console.Write(String.Format("{0}", "- + "))
Next
Console.WriteLine(String.Format("{0,1}", "-"))
For Each denominator In fractions.Item("denominators")
Console.Write(String.Format("{0,13}", denominator))
Next
Console.WriteLine("")
' use the AddFraction Class
Dim add_fract As New AddFraction
add_fract._init_(fractions)
Dim fraction = add_fract.doAdd()
Console.WriteLine(Environment.NewLine)
Console.WriteLine(String.Format("{0,25}", fraction.Item("numerator")))
Console.WriteLine(String.Format("{0,25}", "Answer = -"))
Console.WriteLine(String.Format("{0,25}", fraction.Item("denominator")))
End Sub
End Module