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.