Question

perform the indicated operation. write your answer as an improper fraction or a mixed number. 4\frac{2}{3} \cdot 3\frac{3}{4}

Explanation:

Step1: Convert mixed - numbers to improper fractions

$4\frac{2}{3}=\frac{4\times3 + 2}{3}=\frac{14}{3}$; $3\frac{3}{4}=\frac{3\times4+3}{4}=\frac{15}{4}$

Step2: Multiply the improper fractions

$\frac{14}{3}\times\frac{15}{4}=\frac{14\times15}{3\times4}=\frac{210}{12}$

Step3: Simplify the fraction

$\frac{210\div6}{12\div6}=\frac{35}{2}=17\frac{1}{2}$

Answer:

$\frac{35}{2}$ or $17\frac{1}{2}$