Question

1. which is the product? use an area model to solve. $\frac{2}{7} \times 4\frac{2}{3} = ?$ a. $\frac{2}{3}$ b. $\frac{4}{3}$ c. $\frac{28}{10}$ d. $4\frac{4}{21}$

Explanation:

Step1: Convert mixed number to improper fraction

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

Step2: Multiply the two fractions

$\frac{2}{7} \times \frac{14}{3} = \frac{2\times14}{7\times3}$

Step3: Simplify the expression

$\frac{2\times14}{7\times3} = \frac{2\times2}{1\times3} = \frac{4}{3}$

Answer:

B. $\frac{4}{3}$