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 C++ class file;
call it ImproperToMixed
Type out the adjoining C++ code for converting improper to mixed fractions.
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 Header File
#pragma once
class ImproperToMixed {
public:
ImproperToMixed(unsigned, unsigned);
virtual ~ImproperToMixed();
void doConvert();
unsigned int numerator;
unsigned int denominator;
unsigned int whole_number;
unsigned int new_numerator;
};
class ImproperToMixed {
public:
ImproperToMixed(unsigned, unsigned);
virtual ~ImproperToMixed();
void doConvert();
unsigned int numerator;
unsigned int denominator;
unsigned int whole_number;
unsigned int new_numerator;
};
ImproperToMixed Class File
#include "stdafx.h"
#include "ImproperToMixed.h"
ImproperToMixed::ImproperToMixed(unsigned num, unsigned denom) {
numerator = num;
denominator = denom;
}
void ImproperToMixed::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;
}
}
}
ImproperToMixed::~ImproperToMixed() {
}
#include "ImproperToMixed.h"
ImproperToMixed::ImproperToMixed(unsigned num, unsigned denom) {
numerator = num;
denominator = denom;
}
void ImproperToMixed::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;
}
}
}
ImproperToMixed::~ImproperToMixed() {
}
Algebra Main class
// Algebra.cpp : Defines the entry point for the console application.
//
#include "stdafx.h"
#include "ImproperToMixed.h"
#include <iostream>
#include <exception>
using namespace std;
int main()
{
cout << "\n Welcome to our demonstration sequels";
cout << "\n Hope you enjoy (and follow) the lessons.\n\n";
unsigned int numerator;
unsigned int denominator;
unsigned int whole_number;
try {
/*
* Convert fractions from Improper to Mixed
*/
numerator = 10;
denominator = 3;
cout << "\n Converting from Improper to Mixed the fraction:\n";
// Print as fraction
printf("%56u\n", numerator);
printf("%56s\n", "-");
printf("%56u\n", denominator);
// use the ImproperToMixed class
ImproperToMixed imp_mix(numerator, denominator);
imp_mix.doConvert();
printf("\n%52u\n", imp_mix.new_numerator);
printf("%50s%u%s\n", "Answer = ", imp_mix.whole_number, "-");
printf("%52u\n", denominator);
cout << "\n\n";
} catch (exception& e) {
cout << "\n" << e.what() << "\n";
}
return 0;
}
//
#include "stdafx.h"
#include "ImproperToMixed.h"
#include <iostream>
#include <exception>
using namespace std;
int main()
{
cout << "\n Welcome to our demonstration sequels";
cout << "\n Hope you enjoy (and follow) the lessons.\n\n";
unsigned int numerator;
unsigned int denominator;
unsigned int whole_number;
try {
/*
* Convert fractions from Improper to Mixed
*/
numerator = 10;
denominator = 3;
cout << "\n Converting from Improper to Mixed the fraction:\n";
// Print as fraction
printf("%56u\n", numerator);
printf("%56s\n", "-");
printf("%56u\n", denominator);
// use the ImproperToMixed class
ImproperToMixed imp_mix(numerator, denominator);
imp_mix.doConvert();
printf("\n%52u\n", imp_mix.new_numerator);
printf("%50s%u%s\n", "Answer = ", imp_mix.whole_number, "-");
printf("%52u\n", denominator);
cout << "\n\n";
} catch (exception& e) {
cout << "\n" << e.what() << "\n";
}
return 0;
}