// Takes two fractions, adds them and returns the results
public Fraction.Fraction Addition(Fraction.Fraction first, Fraction.Fraction second)
{
Fraction.Fraction results = new Fraction.Fraction();
// check for errors
if (!IsNoneZeroDenominator(first.GetDenominator()) || !IsNoneZeroDenominator(second.GetDenominator()))
{
return(results);
}
// if not a common denominator do the thing
if (first.GetDenominator() != second.GetDenominator())
{
int firstMultiple = first.GetDenominator();
first.SetDenominator(first.GetDenominator() * second.GetDenominator());
first.SetNumerator(first.GetNumerator() * second.GetDenominator());
second.SetDenominator(firstMultiple * second.GetDenominator());
second.SetNumerator(firstMultiple * second.GetNumerator());
}
// Do the math
results.SetNumerator(first.GetNumerator() + second.GetNumerator());
results.SetDenominator(first.GetDenominator());
return(results);
}
// Reduce the fraction down to its lowest terms before my teacher gets mad at me
public Fraction.Fraction ReducedFraction(Fraction.Fraction fractionToReduce)
{
// Protection against 0
if (fractionToReduce.GetDenominator() == 0)
{
return(fractionToReduce);
}
int gcd = GreatestCommonDenominator(fractionToReduce.GetNumerator(), fractionToReduce.GetDenominator());
if (gcd != 0)
{
fractionToReduce.SetNumerator(fractionToReduce.GetNumerator() / gcd);
fractionToReduce.SetDenominator(fractionToReduce.GetDenominator() / gcd);
}
if (gcd < 0)
{
fractionToReduce.SetNumerator(fractionToReduce.GetNumerator() * -1);
fractionToReduce.SetDenominator(fractionToReduce.GetDenominator() * -1);
}
return(fractionToReduce);
}
// Takes two fractions, divides the first with the second and returns the results
public Fraction.Fraction Division(Fraction.Fraction first, Fraction.Fraction second)
{
Fraction.Fraction results = new Fraction.Fraction();
// check for errors
if (!IsNoneZeroDenominator(first.GetDenominator()) || !IsNoneZeroDenominator(second.GetDenominator()))
{
return(results);
}
// Do the math
results.SetNumerator(first.GetNumerator() * second.GetDenominator());
results.SetDenominator(first.GetDenominator() * second.GetNumerator());
// Return the reduced version of the results
return(results);
}
