Question

divide. write your answer as a fraction or mixed number in simplest form.

\\12 \div 5 \frac{2}{5}\\

Explanation:

Convert the mixed number to an improper fraction

$$ 5\frac{2}{5} = \frac{5 \times 5 + 2}{5} = \frac{27}{5} $$

Divide by multiplying by the reciprocal

$$ 12 \div \frac{27}{5} = 12 \times \frac{5}{27} = \frac{12 \times 5}{27} = \frac{60}{27} $$

Simplify the fraction and convert to a mixed number

$$
LATEXBLOCK0
$$

Answer:

Divide. Write your answer as a fraction or mixed number in simplest form.

\(12 \div 5\frac{2}{5} =\) <blank>\(2\frac{2}{9}\)</blank>