Question

multiply. write your answer as a mixed number in simplest form.

(4\frac{1}{5} \times \frac{3}{4})

Explanation:

Convert the mixed number to an improper fraction

$$ 4\frac{1}{5} = \frac{4 \times 5 + 1}{5} = \frac{21}{5} $$

Multiply the fractions

$$ \frac{21}{5} \times \frac{3}{4} = \frac{21 \times 3}{5 \times 4} = \frac{63}{20} $$

Convert the improper fraction back to a mixed number

$$ \frac{63}{20} = 3\frac{3}{20} $$

Answer:

Multiply. Write your answer as a mixed number in simplest form.

\(4\frac{1}{5} \times \frac{3}{4} =\) <blank>\(3\frac{3}{20}\)</blank>