Question

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

\\7 \div 2\frac{2}{3}\\

Explanation:

Convert the mixed number to an improper fraction

$$ 2\frac{2}{3} = \frac{2 \times 3 + 2}{3} = \frac{8}{3} $$

Rewrite division as multiplication by the reciprocal

$$ 7 \div \frac{8}{3} = 7 \times \frac{3}{8} = \frac{21}{8} $$

Convert the improper fraction to a mixed number

$$ \frac{21}{8} = 2\frac{5}{8} $$

Answer:

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

\(7 \div 2\frac{2}{3} =\) <blank>\(2\frac{5}{8}\)</blank>