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

and

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

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.