Question

divide. write your answer as a fraction or mixed number in simplest form.
$8\div3\frac{4}{5}$

Explanation:

Step1: Convert mixed number to fraction

$3\frac{4}{5} = \frac{3\times5 + 4}{5} = \frac{19}{5}$

Step2: Rewrite division as multiplication

$8\div\frac{19}{5} = 8\times\frac{5}{19}$

Step3: Calculate the product

$8\times\frac{5}{19} = \frac{40}{19}$

Step4: Convert to mixed number (optional)

$\frac{40}{19} = 2\frac{2}{19}$

Answer:

$\frac{40}{19}$ or $2\frac{2}{19}$