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#include "stdafx.h"
#include <iostream>
using namespace std;
// Create the struct for the fractions
struct Fractions
{
int topNumber;
int bottomNumber;
int wholeNumber;
};
int main ()
{
// Declare the variables
Fractions firstNumber, secondNumber, thirdNumber, firstCommonDenominator,secondCommonDenominator;
Fractions firstFraction, secondFraction, computedFirst, computedSecond, multiplicationTotalFirst, multiplicationTotalSecond;
Fractions computedMultipliedWhole, computedMultipliedNumerator, computedAddition;
char arithmeticOperation;
float answersFirstFraction, answersSecondFraction;
const int noResult = 0;
const float converter = 0;
// Get user input
cout << "Welcome to Teacher's Pet Software " <<endl <<endl;
cout << "In this lesson we will be continuing working with fractions. " <<endl <<endl;
cout << "Please enter the first numerator: ";
cin >> firstNumber.topNumber;
cout << "Please enter the first denominator: ";
cin >> firstNumber.bottomNumber;
cout << "Please enter the second numerator: ";
cin >> secondNumber.topNumber;
cout << "Please enter the second denominator: ";
cin >> secondNumber.bottomNumber;
cout << "Please enter either + to add the fractions or * to multiply them. " << endl;
cin >> arithmeticOperation;
// Create if statements to not allow for a zero denominator
// This sets the denominator to 1 if the user inputs 0 for it
if (firstNumber.bottomNumber == 0)
firstNumber.bottomNumber = 1;
if (secondNumber.bottomNumber == 0)
secondNumber.bottomNumber =1;
// Calculate the whole number portion of the fraction if there is one
firstFraction.wholeNumber = firstNumber.topNumber / firstNumber.bottomNumber ;
secondFraction.wholeNumber = secondNumber.topNumber / secondNumber.bottomNumber ;
// Calculate the remainder of interger division for the fraction if there is a whole number
computedFirst.topNumber = firstNumber.topNumber % firstNumber.bottomNumber ;
computedSecond.topNumber = secondNumber.topNumber % secondNumber.bottomNumber ;
// Work out the math if the user chooses ADDITION
firstCommonDenominator.topNumber = firstNumber.topNumber * secondNumber.bottomNumber ;
firstCommonDenominator.bottomNumber = firstNumber.bottomNumber * secondNumber.bottomNumber ;
secondCommonDenominator.topNumber = secondNumber.topNumber * firstNumber.bottomNumber ;
secondCommonDenominator.bottomNumber = secondNumber.bottomNumber * firstNumber.bottomNumber ;
thirdNumber.topNumber = firstCommonDenominator.topNumber + secondCommonDenominator.topNumber ;
thirdNumber.bottomNumber = firstCommonDenominator.bottomNumber ;
computedAddition.wholeNumber = thirdNumber.topNumber / thirdNumber.bottomNumber ;
computedAddition.topNumber = thirdNumber.topNumber % thirdNumber.bottomNumber ;
// Work out the math if the user chooses MULTIPLICATION
multiplicationTotalFirst.topNumber = firstNumber.topNumber * secondNumber.topNumber ;
multiplicationTotalSecond.bottomNumber = firstNumber.bottomNumber * secondNumber.bottomNumber ;
computedMultipliedWhole.wholeNumber = multiplicationTotalFirst.topNumber / multiplicationTotalSecond.bottomNumber ;
computedMultipliedNumerator.topNumber = multiplicationTotalFirst.topNumber % multiplicationTotalSecond.bottomNumber ;
// Figure the rules that determine the diplaying fraction with if / else
// And echo the fractions
// Determine if the whole number portion is greater than zero and if so it will be used
// First fraction portion
if (firstFraction.wholeNumber > 0 && computedFirst.topNumber > 0)
cout << "The first fraction is " << firstFraction.wholeNumber << " " << computedFirst.topNumber << "/"
<< firstNumber.bottomNumber << endl << endl;
else
if (firstFraction.wholeNumber == 0 && computedFirst.topNumber > 0)
cout << "The first fraction is " << computedFirst.topNumber << "/" << firstNumber.bottomNumber << endl << endl;
else
if (firstFraction.wholeNumber == 0 && computedFirst.topNumber == 0)
cout << "The answer is " << noResult << endl << endl;
// Second fraction portion
if (secondFraction.wholeNumber > 0 && computedSecond.topNumber > 0)
cout << "The second fraction is " << secondFraction.wholeNumber << " " << computedSecond.topNumber << "/"
<< secondNumber.bottomNumber << endl << endl;
else
if (secondFraction.wholeNumber == 0 && computedSecond.topNumber > 0)
cout << "The second fraction is " << computedSecond.topNumber << "/" << secondNumber.bottomNumber << endl << endl;
else
if (secondFraction.wholeNumber == 0 && computedSecond.topNumber == 0)
cout << "The answer is " << noResult << endl << endl;
// Rules to determine if the fractions are equal, greater than, or less than
// use the converter to change the fractions into a float value for easier comparison
answersFirstFraction = (computedFirst.topNumber + converter) / (firstNumber.bottomNumber + converter) ;
answersSecondFraction = (computedSecond.topNumber + converter) / (secondNumber.bottomNumber + converter) ;
// If / else statements to determine if they fractions are equal, greater than, or less than
if (answersFirstFraction == answersSecondFraction)
cout << "The first fraction " << computedFirst.topNumber << "/" << firstNumber.bottomNumber
<< " is equal to the second fraction " << computedSecond.topNumber << "/" << secondNumber.bottomNumber << endl << endl;
else
if (answersFirstFraction > answersSecondFraction)
cout << "The first fraction " << firstFraction.wholeNumber << " "
<< computedFirst.topNumber << "/" << firstNumber.bottomNumber << " is greater than the second fraction "
<< secondFraction.wholeNumber << " " << computedSecond.topNumber << "/" << secondNumber.bottomNumber << endl << endl;
else
cout << "The first fraction " << firstFraction.wholeNumber << " " << computedFirst.topNumber << "/"
<< firstNumber.bottomNumber << " is less than the second fraction " << secondFraction.wholeNumber << " "
<< computedSecond.topNumber << "/" << secondNumber.bottomNumber << endl << endl;
// Determine if the fraction can be reduced , if so display the reduced fraction
// First fraction
if (firstFraction.wholeNumber == 0)
cout << "The first fraction cannot be reduced, so the fraction is: " << firstNumber.topNumber << "/"
<< firstNumber.bottomNumber << endl << endl;
else
cout << "The first fraction is reduced and is: " << firstFraction.wholeNumber << " "
<< computedFirst.topNumber << "/" << firstNumber.bottomNumber << endl << endl;
// Second fraction
if (secondFraction.wholeNumber == 0)
cout << "The second fraction cannot be reduced, so the fraction is: " << secondNumber.topNumber << "/"
<< secondNumber.bottomNumber << endl << endl;
else
cout << "The second fraction is reduced and is: " << secondFraction.wholeNumber << " " << computedSecond.topNumber << "/"
<< secondNumber.bottomNumber << endl << endl;
// Display the results if the fractions are added or multiplied
if (arithmeticOperation == '+')
cout << "The addition of the first and the second fraction is: " << computedAddition.wholeNumber << " "
<< computedAddition.topNumber << "/" << thirdNumber.bottomNumber << endl << endl;
else
cout << "The multiplication of the first and second fraction is: " << computedMultipliedWhole.wholeNumber << " "
<< computedMultipliedNumerator.topNumber << "/" << multiplicationTotalSecond.bottomNumber << endl << endl;
return 0;
}
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