// Return a + b.
public static Fraction operator +(Fraction a, Fraction b)
{
// Get the denominators' greatest common divisor.
long gcd_ab = MathStuff.GCD(a.Denominator, b.Denominator);
long numer =
a.Numerator * (b.Denominator / gcd_ab) +
b.Numerator * (a.Denominator / gcd_ab);
long denom =
a.Denominator * (b.Denominator / gcd_ab);
return(new Fraction(numer, denom));
}
// Simplify the fraction.
private void Simplify()
{
// Simplify the sign.
if (Denominator < 0)
{
Numerator = -Numerator;
Denominator = -Denominator;
}
// Factor out the greatest common divisor of the
// numerator and the denominator.
long gcd_ab = MathStuff.GCD(Numerator, Denominator);
Numerator = Numerator / gcd_ab;
Denominator = Denominator / gcd_ab;
}
