How do you combine 2 1/4 * 3 1/5?

Apr 12, 2018

$7 \frac{1}{5}$

Explanation:

Start by converting each term into an improper fraction.

$2 \frac{1}{4} = 2 + \frac{1}{4} = \frac{8}{4} + \frac{1}{4} = \frac{9}{4}$
$3 \frac{1}{5} = 3 + \frac{1}{5} = \frac{15}{5} + \frac{1}{5} = \frac{16}{5}$

Now we can multiply.

$\left(\frac{9}{4}\right) \left(\frac{16}{5}\right) = \frac{9 \cdot 16}{4 \cdot 5} = \frac{144}{20} = \frac{72}{10} = \frac{36}{5}$.

To return this improper fraction back into a mixed number, divide and place the remainder over the original denominator.

$\frac{36}{5} = \frac{35 + 1}{5} = 7 + \frac{1}{5} = 7 \frac{1}{5}$.