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Project: Fractions
Unit: DelphiDabbler.Lib.Fractions
Record: TFraction
Applies to: ~>0.1
class operator Divide(const A, B: TFraction): TFraction;
This operator overload permits one TFraction to be divided by another using the / operator.
The result of the division is returned as a new TFraction instance, reduced to its lowest terms.
One of the operands may be either an integer or floating point value. The Implicit operator takes care of converting the integer and floating point operands to a TFraction before performing the division.
The second operand must not be zero. In the case of a TFraction this means the Numerator must not be zero.
var
F1, F2, FRes: TFraction;
begin
// 2/3 / 5/6 = 2/3 * 6/5 = 12/15 = 4/5
F1 := TFraction.Create(2, 3);
F2 := TFraction.Create(5, 6);
FRes := F1 / F2;
Assert((FRes.Numerator = 4) and (FRes.Denominator = 5));
// 5/8 / 3 = 5/8 * 1/3 = 5/24
F1 := TFraction.Create(5, 8);
FRes := F1 / 3;
Assert((FRes.Numerator = 5) and (FRes.Denominator = 24));
// 2.5 / 3/4 = 5/2 / 3/4 = 5/2 * 4/3 = 20/6 = 10/3
Assert((FRes.Numerator = 10) and (FRes.Denominator = 3));
end;