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# Reciprocal method

Project: Fractions

Unit: DelphiDabbler.Lib.Fractions

Record: TFraction

Applies to: ~>0.1

``````function Reciprocal: TFraction;
``````

## Description

This method returns the reciprocal of the fraction. The fraction must not be zero, i.e. it must have a non-zero numerator.

The reciprocal of fraction `X/Y` is `Y/X`, where `X<>0`.

### Note

Because the reciprocal of any non-zero number `N` is defined as `1/N`, applying Reciprocal to a fraction is the same as dividing the fraction into 1. I.e. if F is any TFraction instance with a non-zero numerator,

``````F.Reciprocal = 1/F;
``````

### Example

``````var
F, G, H: TFraction;
begin
F := TFraction.Create(5, 12);
G := F.Reciprocal;
H := 1 / F;  // see Note
Assert(G = H);
Assert((G.Numerator = F.Denominator) and (G.Denominator = F.Numerator));
end;
``````