/// <summary>
/// Multiplies the specified <see cref="Fraction"/> by nonnegative integer number.
/// </summary>
/// <param name="fraction">The multiplicand.</param>
/// <param name="number">The multiplier.</param>
/// <returns>The product of <paramref name="fraction"/> and <paramref name="number"/>.</returns>
/// <exception cref="ArgumentNullException"><paramref name="fraction"/> is null.</exception>
/// <exception cref="ArgumentOutOfRangeException"><paramref name="number"/> is negative.</exception>
public static Fraction operator *(Fraction fraction, long number)
{
ThrowIfArgument.IsNull(nameof(fraction), fraction);
ThrowIfArgument.IsNegative(nameof(number), number, "Number is negative.");
return(new Fraction(fraction.Numerator * number,
fraction.Denominator));
}
/// <summary>
/// Initializes a new instance of the <see cref="Fraction"/> with the specified
/// numerator and denominator.
/// </summary>
/// <param name="numerator">The numerator of a fraction.</param>
/// <param name="denominator">The denominator of a fraction.</param>
/// <exception cref="ArgumentOutOfRangeException"><paramref name="numerator"/> is negative. -or-
/// <paramref name="denominator"/> is zero or negative.</exception>
public Fraction(long numerator, long denominator)
{
ThrowIfArgument.IsNegative(nameof(numerator), numerator, "Numerator is negative.");
ThrowIfArgument.IsNonpositive(nameof(denominator), denominator, "Denominator is zero or negative.");
// Simplify a fraction
var greatestCommonDivisor = MathUtilities.GreatestCommonDivisor(numerator, denominator);
numerator /= greatestCommonDivisor;
denominator /= greatestCommonDivisor;
Numerator = numerator;
Denominator = denominator;
}