# Arithmetic/Types of Numbers/Fraction

## FractionEdit

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

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

Where

A is called Numerator
B is called Denominator

## Equal FractionsEdit

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 numerator B and denominator C.

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

and

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

## RulesEdit

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