Fractional Numbers
As before, fractional numbers can either be Proper (e.g. 2/5), Improper (e.g. 5/2), or Mixed (e.g. 21/2),
Improper to Mixed Fraction Code in C#
Say we have the fraction 10/3 - which is an improper fraction - we can convert this fraction to a mixed fraction by following a number of steps:
Step 1:
Find the largest number smaller than the numerator (10),
that can divide the denominator - 3 - without remainder.
⇒ 9
Step 2:
Subtract the found number (9) - from Step 1 -
from the numerator (10)
⇒ 10 - 9 = 1;
This yields the whole number.
Step 3:
Divide the found number (9) - from Step 1 -
by the denominator (3)
⇒ 9/3 = 3;
This yields the new numerator.
Step 4:
Reuse the denominator (3) to get our mixed fraction
⇒ 31/3
Create a new csharp class file;
call it ImproperToMixed
Type out the adjoining C# code for converting improper to mixed fraction.
Note: You can comment out the ImproperToMixed C# object code in the main class from the previous lesson or simply continue from where it stopped.
So!
Feel free to try out your own numerator and denominator.
C# code for ImproperToMixed class file
using System.Collections;
namespace Algebra
{
class ImproperToMixed
{
private int numerator;
private int denominator;
private int whole_number;
private int new_numerator;
public ImproperToMixed(Hashtable fraction)
{
numerator = (int)fraction["numerator"];
denominator = (int)fraction["denominator"];
}
public Hashtable doConvert()
{
int dividend; // Highest multiple of denominator less than numerator
// STEP 1:
for (dividend = numerator - 1; dividend > 1; dividend--)
{
if ((dividend % denominator) == 0)
{
// STEP 2:
new_numerator = numerator - dividend;
// STEP 3:
whole_number = dividend / denominator;
break;
}
}
Hashtable send_back = new Hashtable();
send_back.Add("whole_number", whole_number);
send_back.Add("numerator", new_numerator);
send_back.Add("denominator", denominator);
return send_back;
}
}
}
namespace Algebra
{
class ImproperToMixed
{
private int numerator;
private int denominator;
private int whole_number;
private int new_numerator;
public ImproperToMixed(Hashtable fraction)
{
numerator = (int)fraction["numerator"];
denominator = (int)fraction["denominator"];
}
public Hashtable doConvert()
{
int dividend; // Highest multiple of denominator less than numerator
// STEP 1:
for (dividend = numerator - 1; dividend > 1; dividend--)
{
if ((dividend % denominator) == 0)
{
// STEP 2:
new_numerator = numerator - dividend;
// STEP 3:
whole_number = dividend / denominator;
break;
}
}
Hashtable send_back = new Hashtable();
send_back.Add("whole_number", whole_number);
send_back.Add("numerator", new_numerator);
send_back.Add("denominator", denominator);
return send_back;
}
}
}
Algebra main class
using System;
using System.Collections;
namespace Algebra
{
class Program
{
static void Main(string[] args)
{
Console.WriteLine("Welcome to our demonstration sequels");
Console.WriteLine("Hope you enjoy (and follow) the lessons.");
Console.WriteLine("\r\n");
/*
* Convert fractions from Mixed to Improper
*/
Hashtable fraction = new Hashtable();
fraction["numerator"] = 10;
fraction["denominator"] = 3;
Console.WriteLine(" Converting from Improper to Mixed the fraction:");
// Print as fraction
Console.WriteLine(String.Format("{0,55}", fraction["numerator"]));
Console.WriteLine(String.Format("{0,55}", "-"));
Console.WriteLine(String.Format("{0,55}", fraction["denominator"]));
// use the MixedToImproper class
ImproperToMixed imp_mix = new ImproperToMixed(fraction);
fraction = imp_mix.doConvert();
Console.WriteLine(Environment.NewLine);
Console.WriteLine(String.Format("{0,52}", fraction["numerator"]));
Console.WriteLine(String.Format("{0,48} {1} {2}", "Answer = ", fraction["whole_number"], "-"));
Console.WriteLine(String.Format("{0,52}", fraction["denominator"]));
}
}
}
using System.Collections;
namespace Algebra
{
class Program
{
static void Main(string[] args)
{
Console.WriteLine("Welcome to our demonstration sequels");
Console.WriteLine("Hope you enjoy (and follow) the lessons.");
Console.WriteLine("\r\n");
/*
* Convert fractions from Mixed to Improper
*/
Hashtable fraction = new Hashtable();
fraction["numerator"] = 10;
fraction["denominator"] = 3;
Console.WriteLine(" Converting from Improper to Mixed the fraction:");
// Print as fraction
Console.WriteLine(String.Format("{0,55}", fraction["numerator"]));
Console.WriteLine(String.Format("{0,55}", "-"));
Console.WriteLine(String.Format("{0,55}", fraction["denominator"]));
// use the MixedToImproper class
ImproperToMixed imp_mix = new ImproperToMixed(fraction);
fraction = imp_mix.doConvert();
Console.WriteLine(Environment.NewLine);
Console.WriteLine(String.Format("{0,52}", fraction["numerator"]));
Console.WriteLine(String.Format("{0,48} {1} {2}", "Answer = ", fraction["whole_number"], "-"));
Console.WriteLine(String.Format("{0,52}", fraction["denominator"]));
}
}
}