Question

multiply:
$3 \frac{4}{7} \times 2 \frac{1}{5}$
write your answer as a mixed number in simplest form.

Explanation:

Step1: Convert to improper fractions

$3\frac{4}{7} = \frac{3\times7 + 4}{7} = \frac{25}{7}$, $2\frac{1}{5} = \frac{2\times5 + 1}{5} = \frac{11}{5}$

Step2: Multiply the fractions

$\frac{25}{7} \times \frac{11}{5} = \frac{25\times11}{7\times5}$

Step3: Simplify the product

$\frac{25\times11}{7\times5} = \frac{5\times11}{7} = \frac{55}{7}$

Step4: Convert to mixed number

$\frac{55}{7} = 7\frac{6}{7}$

Answer:

$7\frac{6}{7}$