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.