/// <summary>
/// Subtraction
/// </summary>
/// <param name="First">First fraction</param>
/// <param name="Second">Second fraction</param>
/// <returns>The subtracted fraction</returns>
public static Fraction operator -(Fraction First, Fraction Second)
{
Fraction Value1 = new Fraction(First.Numerator * (int)Second.Denominator, First.Denominator * Second.Denominator);
Fraction Value2 = new Fraction(Second.Numerator * (int)First.Denominator, Second.Denominator * First.Denominator);
Fraction Result = new Fraction(Value1.Numerator - Value2.Numerator, Value1.Denominator);
Result.Reduce();
return Result;
}
/// <summary>
/// Multiplication
/// </summary>
/// <param name="First">First fraction</param>
/// <param name="Second">Second fraction</param>
/// <returns>The resulting fraction</returns>
public static Fraction operator *(Fraction First, Fraction Second)
{
Fraction Result = new Fraction(First.Numerator * Second.Numerator, First.Denominator * Second.Denominator);
Result.Reduce();
return Result;
}
/// <summary>
/// Returns the lowest common denominator between 2 fractions.
/// </summary>
/// <param name="Fraction1">First fraction</param>
/// <param name="Fraction2">Second fraction</param>
/// <returns>The smallest common multiple between the given fractions.</returns>
public static int LowestCommonDenominator(Fraction Fraction1, Fraction Fraction2)
{
Fraction f1 = Fraction1;
Fraction f2 = Fraction2;
if(f1.Denominator > f2.Denominator)
if(f1.Denominator % f2.Denominator == 0)
if(f1.Denominator > Fraction.GreatestCommonFactor(f1.Denominator, f2.Denominator))
return f1.Denominator;
else
return f1.Denominator / Fraction.GreatestCommonFactor(f1.Denominator, f2.Denominator);
if(f2.Denominator > f1.Denominator)
if(f2.Denominator % f1.Denominator == 0)
if(f2.Denominator > Fraction.GreatestCommonFactor(f1.Denominator, f2.Denominator))
return f2.Denominator;
else
return f2.Denominator / Fraction.GreatestCommonFactor(f1.Denominator, f2.Denominator);
return (f1.Denominator * f2.Denominator) / Fraction.GreatestCommonFactor(f1.Denominator, f2.Denominator);
}
/// <summary>
/// Returns a new fraction with reduced values, if values can be reduced.
/// </summary>
/// <param name="SourceFraction">Fraction you want to reduce.</param>
/// <returns>Reduced fraction. i.e., a source fraction with a value of 5/10 will return a new fraction of 1/2.</returns>
public static Fraction Reduce(Fraction SourceFraction)
{
int gcf = Fraction.GreatestCommonFactor(SourceFraction);
int num = SourceFraction.Numerator / gcf;
int den = SourceFraction.Denominator / gcf;
return new Fraction(num, den);
}
/// <summary>
/// Returns the greatest common factor between the numerator & denominator of a fraction.
/// </summary>
/// <param name="inputFraction">The fraction to find the GCF for.</param>
/// <returns>The largest integer that these numbers can both be evenly divided by.</returns>
public static int GreatestCommonFactor(Fraction inputFraction)
{
return Fraction.GreatestCommonFactor(inputFraction.Numerator, inputFraction.Denominator);
}
