# How do you simplify 2\frac{1}{7}\div \frac{1}{4}?

May 3, 2017

$\frac{100}{7}$ or $14 \frac{2}{7}$

#### Explanation:

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

First, let's change $7 \frac{1}{7}$ to an improper fraction: $\frac{50}{7}$

$\frac{50}{7} \div \frac{1}{4}$

This is the same as $\frac{50}{7} \cdot \frac{4}{1}$

We multiply straight across...

$\frac{100}{7}$