# How do you divide 7 4/5 div 1 1/4?

Oct 26, 2016

$= 6 \frac{6}{25}$

#### Explanation:

so first we convert to improper fractions,

$7 \frac{4}{5} \div 1 \frac{1}{4}$

$= \frac{39}{5} \div \frac{5}{4}$

dividing by a fraction is the same as multiplying by the inverse of the fraction so,

$= \frac{39}{5} \cdot \frac{4}{5}$

so simplifying,

$= \frac{39 \cdot 4}{25}$

$= \frac{156}{25}$

turning back into a mixed fraction,

$= 6 \frac{6}{25}$