Question

homework: module a part 1 re
score: 25/30 answered: 27/30
question 28
divide. simplify your answer.
4\frac{2}{3}\div3\frac{4}{5}
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Explanation:

Step1: Convert mixed - numbers to improper fractions

$4\frac{2}{3}=\frac{4\times3 + 2}{3}=\frac{14}{3}$ and $3\frac{4}{5}=\frac{3\times5+4}{5}=\frac{19}{5}$

Step2: Change division to multiplication by reciprocal

$\frac{14}{3}\div\frac{19}{5}=\frac{14}{3}\times\frac{5}{19}$

Step3: Multiply the numerators and denominators

$\frac{14\times5}{3\times19}=\frac{70}{57}$

Step4: Convert to mixed - number if needed

$\frac{70}{57}=1\frac{13}{57}$

Answer:

$1\frac{13}{57}$