# How do you simplify 4 1/2 div 1 4/5?

Apr 28, 2018

$2 \frac{1}{2}$

#### Explanation:

Convert the mixed numbers into improper fractions

$4 \frac{1}{2} = \frac{9}{2}$ and $1 \frac{4}{5} = \frac{9}{5}$

So $4 \frac{1}{2} \div 1 \frac{4}{5}$=$\frac{9}{2} \div \frac{9}{5}$

When dividing fractions we invert the second fraction and multiply

$\implies \frac{9}{2} \div \frac{9}{5} = \frac{9}{2} \times \frac{5}{9}$= $\frac{45}{18}$ =$\frac{5}{2} = 2 \frac{1}{2}$