Question

Multiply the following fractions: $3\frac{2}{5}\times \frac{4}{7}$

Answer 1

Step 1: Convert the mixed fraction to an improper fraction and then multiply.

$\begin{array}{c}3\frac{2}{5}\times \frac{4}{7}=\frac{17}{5}\times \frac{4}{7}\\ =\frac{68}{35}\end{array}$

Step 2: Convert $\frac{68}{35}$into a mixed fraction.

Divide $68$ by $35$

$35168-\underline{3}\underline{5}33$

$\therefore \frac{68}{35}=1\frac{33}{35}$

Hence the product of $3\frac{2}{5}\times \frac{4}{7}$is $1\frac{33}{35}$.