# How do you simplify 3 3/10 div 2 2/5?

Nov 26, 2016

#### Answer:

$\frac{33}{24} = 1 \frac{3}{8}$

#### Explanation:

The method for the division of 2 mixed numbers is.

•" Convert to improper fractions"

•" Change division to multiplication"

•" Leave the first fraction and 'invert' the second"

•" Simplify by cancelling"

$\Rightarrow 3 \frac{3}{10} = \frac{33}{10} \leftarrow \text{ improper fraction}$

$\text{ and } 2 \frac{2}{5} = \frac{12}{5}$

rArr33/10÷12/5=33/10xx5/12larr" multiply and invert"

$= \frac{33}{\cancel{10}} ^ 2 \times {\cancel{5}}^{1} / 12 = \frac{33 \times 1}{2 \times 12}$

$= \frac{33}{24} = 1 \frac{9}{24} = 1 \frac{3}{8}$