Arithmetic/Types of Numbers/Fraction

Fraction

Fraction is a ratio of two integer numbers. Fraction can be expressed mathematically

${\frac {A}{B}}$, where B is not zero.

Where

A is called Numerator

B is called Denominator

Equal Fractions

Two fractions A/B and C/D are the same if the product of numerator A and denominator D is equal to the product of denominator B and numerator C.

${\frac {A}{B}}={\frac {C}{D}}$ if $A*D=B*C$

and

${\frac {A*D}{B*C}}={\frac {E*H}{F*G}}$ if $(A*D)(G*F)=(E*H)(B*C)$

Rules

1. ${\frac {A}{B}}$ + ${\frac {C}{D}}$ = ${\frac {AD+BC}{BD}}$
2. ${\frac {A}{B}}$ - ${\frac {C}{D}}$ = ${\frac {AD-BC}{BD}}$
3. ${\frac {A}{B}}$ x ${\frac {C}{D}}$ = ${\frac {AC}{BD}}$
4. ${\frac {A}{B}}$ / ${\frac {C}{D}}$ = ${\frac {AD}{BC}}$, if C not zero.