How do you combine $2 \frac{1}{4} \cdot 3 \frac{1}{5}$ $2 1/4 * 3 1/5$ ?

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How do you combine $2 \frac{1}{4} \cdot 3 \frac{1}{5}$ $2 1/4 * 3 1/5$ ?

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Answer 1 · 2018-04-12T04:36:14

$7 \frac{1}{5}$ $7 1/5$

Explanation:

Start by converting each term into an improper fraction.

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

Now we can multiply.

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

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

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

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