# What is the quotient of 4/7 divided by 3/7?

##### 1 Answer
Sep 17, 2015

$\frac{4}{3}$

#### Explanation:

When a number is divided by a fraction, we invert the fraction and multiply.

$\frac{4}{7} \div \frac{3}{7}$

Invert $\frac{3}{7}$ to $\frac{7}{3}$ and multiply.

$\frac{4}{7} \times \frac{7}{3} = \frac{28}{21}$

Factor out $7$ in the numerator and denominator.

(7xx4)/(7xx3

Simplify.

$\frac{\cancel{7} \times 4}{\cancel{7} \times 3} = \frac{4}{3}$