Question

chapter review
fractions

1. $8\frac{2}{3} \div 2\frac{3}{5} =$

Explanation:

Step1: Convert to improper fractions

$8\frac{2}{3} = \frac{8\times3 + 2}{3} = \frac{26}{3}$, $2\frac{3}{5} = \frac{2\times5 + 3}{5} = \frac{13}{5}$

Step2: Rewrite division as multiplication

$\frac{26}{3} \div \frac{13}{5} = \frac{26}{3} \times \frac{5}{13}$

Step3: Simplify and calculate

$\frac{26\times5}{3\times13} = \frac{2\times5}{3} = \frac{10}{3}$

Answer:

$\frac{10}{3}$ or $3\frac{1}{3}$