Question

Find: $3\frac{1}{2}÷\frac{8}{3}$.

Answer 1

Step $1$: Convert the mixed fraction.

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

$3\frac{1}{2}=3+\frac{1}{2}$

$=\frac{6+1}{2}$

$=\frac{7}{2}$

Step $2$: Compute the required value.

$3\frac{1}{2}÷\frac{8}{3}=\frac{7}{2}÷\frac{8}{3}$

$=\frac{7}{2}\times \frac{3}{8}$ [ Taking the reciprocal ]

$=\frac{21}{16}$

Hence, the value of $3\frac{1}{2}÷\frac{8}{3}$ is $\frac{21}{16}$.