# How do you divide \frac { 7} { 12} \div \frac { 1} { 3}?

Dec 16, 2016

$\frac{7}{4}$

#### Explanation:

The method for $\textcolor{b l u e}{\text{division of fractions}}$ is.

• " Leave the first fraction"

• " Change division to multiplication"

• " Invert (turn upside down ) the second fraction"

 • " Cancel common factors if possible"

rArr7/12÷1/3

$= \frac{7}{12} \times \frac{3}{1} \leftarrow \text{ multiply and invert}$

$= \frac{7}{\cancel{12}} ^ 4 \times {\cancel{3}}^{1} / 1 \leftarrow \text{ cancelling}$

$= \frac{7 \times 1}{4 \times 1} = \frac{7}{4} \leftarrow \text{ in simplest form}$

A fraction is in $\textcolor{b l u e}{\text{simplest form}}$ when no other factor but 1 will divide into the numerator/denominator.