# What is the quotient 2 4/5 div 1 1/3?

Nov 24, 2016

$\frac{21}{10} = 2 \frac{1}{10}$

You should answer a question in the same format in which it is given.

#### Explanation:

Make improper fractions:

$2 \frac{4}{5} \div 1 \frac{1}{3}$

=$\frac{14}{5} \textcolor{b l u e}{\div \frac{4}{3}}$

To divide by a fraction, multiply by its reciprocal

=$\frac{14}{5} \textcolor{b l u e}{\times \frac{3}{4}}$

=${\cancel{14}}^{7} / 5 \times \frac{3}{\cancel{4}} ^ 2 \text{ } \leftarrow$ cancel where possible

multiply straight across

$\frac{21}{10}$

=$2 \frac{1}{10}$