# How do you find the quotient of 3/7 divided by 5/8?

Jul 8, 2018

$\frac{24}{35}$

#### Explanation:

We have

$\frac{3}{7} : \frac{5}{8} = \frac{3}{7} \cdot \frac{8}{5} = \frac{24}{35}$

Jul 8, 2018

$\frac{3}{7} \div \frac{5}{8} = \frac{24}{35}$

#### Explanation:

Solve:

$\frac{3}{7} \div \frac{5}{8}$

When dividing by a fraction, invert the fraction and multiply.

$\frac{3}{7} \times \frac{8}{5} =$

$\frac{3 \times 8}{7 \times 5} =$

$\frac{24}{35}$

Jul 8, 2018

$\frac{24}{35}$

#### Explanation:

We essentially have the following:

$\frac{3}{7} \div \frac{5}{8}$

When we divide by fractions, we multiply by the reciprocal of the second fraction. All the word "reciprocal" means is the numerator and denominator flip.

Our division problem now turns into multiplication:

$\frac{3}{7} \cdot \frac{8}{5}$

When we multiply fractions, we just multiply straight across. We now have

$\frac{24}{35}$

Since the numerator and denominator have no common factors, this fraction is in simplest form.

Hope this helps!