/// <summary>
/// Compare the <see cref="Fraction" /> with another fraction.
/// </summary>
/// <param name="other">The <see cref="Fraction" /> to compare against.</param>
/// <returns>-1 if it is less, 0 if equal, 1 if it is greater.</returns>
public int CompareTo(Fraction other)
{
var lcm = NumberTheory.LeastCommonMultiple(Denominator, other.Denominator);
var leftNumerator = Numerator * lcm / Denominator;
var rightNumerator = other.Numerator * lcm / other.Denominator;
return(leftNumerator.CompareTo(rightNumerator));
}
public static Fraction operator-(Fraction left, Fraction right)
{
var newDenominator = NumberTheory.LeastCommonMultiple(left.Denominator, right.Denominator);
var newNumerator = left.Sign * left.Numerator * newDenominator / left.Denominator
- right.Sign * right.Numerator * newDenominator / right.Denominator;
return(new Fraction(newNumerator, newDenominator));
}