Question

Find: $3\frac{1}{5}÷1\frac{2}{3}$.

Answer 1

Step $1$: Convert the mixed fractions.

First, convert the mixed fractions into a proper fractions. That is

$$\begin{gathered} 3\frac{1}{5}=3+\frac{1}{5} \\ =\frac{15+1}{5} \\ =\frac{16}{5} \end{gathered}$$

$$\begin{gathered} 1\frac{2}{3}=1+\frac{2}{3} \\ =\frac{3+2}{3} \\ =\frac{5}{3} \end{gathered}$$

Step $2$: Compute the required value.

$3\frac{1}{5}÷1\frac{2}{3}=\frac{16}{5}÷\frac{5}{3}$

$=\frac{16}{5}\times \frac{3}{5}$ [ Taking the reciprocal ]

$=\frac{48}{25}$

Hence, the value of $3\frac{1}{5}÷1\frac{2}{3}$ is $\frac{48}{25}$.