Question

Multiply and express as a mixed fraction: $3\frac{2}{5}\times 8$

Answer 1

Step 1: Know that a mixed fraction has a combination of a whole and a part

Convert the mixed fraction $3\frac{2}{5}$ into an improper fraction as follow:

$$\begin{gathered} \begin{array}{l} 3\frac{2}{5}=\frac{\left(5\times 3\right)+2}{5}\end{array} \\ =\begin{array}{l} \frac{17}{5}\end{array} \end{gathered}$$

Multiply by $8$ :

$\begin{array}{l}\frac{17}{5}\times 8=\frac{136}{5}\end{array}$

Step 2: Convert $\frac{136}{5}$into a mixed fraction.

$$\begin{gathered} \frac{136}{5}=\frac{\left(27\times 5\right)+1}{5} \\ =27\frac{1}{5} \end{gathered}$$

Hence, the product of $3\frac{2}{5}\times 8$ in mixed fraction is $27\frac{1}{5}$.