Fractions Rules

$\frac{0}{a}=0$   $a\ne 0$

$\frac{a}{0}=$ undefined (Division by zero is not allowed.)

$\frac{a}{1}=a$

$\frac{a}{a}=1$

$(\frac{a}{b})^{-1}=\frac{1}{\frac{a}{b}}=\frac{b}{a}$

$(\frac{a}{b})^{-c}=((\frac{a}{b})^{-1})^{c}=(\frac{b}{a})^{c}$

$a^{-1}=\frac{1}{a}$

$a^{-b}=\frac{1}{a^b}$

$\frac{-a}{-b}=\frac{a}{b}$

$\frac{-a}{b}=-\frac{a}{b}$

$\frac{a}{-b}=-\frac{a}{b}$

$\frac{a}{\frac{b}{c}}=\frac{a\cdot c}{b}$

$\frac{\frac{b}{c}}{a}=\frac{b}{c \cdot a}$

$\frac{1}{\frac{b}{c}}=\frac{c}{b}$

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