Question

multiply $2\frac{2}{3} \cdot 1\frac{5}{6}$. simplify the answer and write as a mixed number. \bigcirc $4\frac{8}{9}$ \bigcirc $\frac{88}{18}$ \bigcirc $2\frac{5}{9}$ \bigcirc $4\frac{16}{18}$

Explanation:

Step1: Convert mixed numbers to improper fractions

$2\frac{2}{3} = \frac{2\times3 + 2}{3} = \frac{8}{3}$
$1\frac{5}{6} = \frac{1\times6 + 5}{6} = \frac{11}{6}$

Step2: Multiply the two improper fractions

$\frac{8}{3} \times \frac{11}{6} = \frac{8\times11}{3\times6} = \frac{88}{18}$

Step3: Simplify the fraction

$\frac{88}{18} = \frac{44}{9}$

Step4: Convert to mixed number

$\frac{44}{9} = 4\frac{8}{9}$

Answer:

A. $4\frac{8}{9}$