Question

divide. write your answer as a fraction or mixed number.

(7 \div 4\frac{5}{6})

Explanation:

Convert the mixed number to an improper fraction

$$ 4\frac{5}{6} = \frac{4 \times 6 + 5}{6} = \frac{29}{6} $$

Rewrite the division as multiplication by the reciprocal

$$ 7 \div \frac{29}{6} = 7 \times \frac{6}{29} = \frac{42}{29} $$

Convert the improper fraction to a mixed number

$$ \frac{42}{29} = 1\frac{13}{29} $$

Answer:

Divide. Write your answer as a fraction or mixed number.

\(7 \div 4\frac{5}{6} =\) <blank>\(1\frac{13}{29}\)</blank>