# How do you simplify (2 2/9)/ (3 1/3)?

Jan 17, 2017

The final answer will be $\frac{2}{3}$. The method used to get there is shown below...

#### Explanation:

First, you must change both into improper fractions

$2 \frac{2}{9} = \frac{20}{9}$

$3 \frac{1}{3} = \frac{10}{3}$

Now, when we divide by a fraction it is the same as multiplying by the reciprocal of that fraction, so

$\frac{20}{9} \div \frac{10}{3} = \frac{20}{9} \times \frac{3}{10}$

Multiply the two numerators to get the numerator of the answer, then do the same with the two denominators:

$\frac{20 \times 3}{9 \times 10} = \frac{60}{90}$ which can be simplified to $\frac{2}{3}$ by dividing both values by 30.