Question

Find: $3÷2\frac{1}{3}$.

Answer 1

Step $1$: Convert the mixed fraction.

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

$$\begin{gathered} 2\frac{1}{3}=2+\frac{1}{3} \\ =\frac{6+1}{3} \\ =\frac{7}{3} \end{gathered}$$

Step $2$: Compute the required value.

$3÷2\frac{1}{3}=3÷\frac{7}{3}$

$=3\times \frac{3}{7}$

$=\frac{9}{7}$

Hence, the value of $3÷2\frac{1}{3}$ is $\frac{9}{7}$.