Question

Find the value of $\left(\frac{3}{7}\right)÷\left(\frac{8}{7}\right)$.

Answer 1

State and simplify the given expression:

The given expression is $\left(\frac{3}{7}\right)÷\left(\frac{8}{7}\right)$.

It can be simplified as follows,

$\left(\frac{3}{7}\right)÷\left(\frac{8}{7}\right)=\frac{3}{7}\times \frac{7}{8}$ $\left[\because \frac{a}{b}÷\frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\right]$

$$\begin{gathered} \Rightarrow \left(\frac{3}{7}\right)÷\left(\frac{8}{7}\right)=\frac{3}{1}\times \frac{1}{8} \\ \Rightarrow \left(\frac{3}{7}\right)÷\left(\frac{8}{7}\right)=\frac{3\times 1}{1\times 8} \\ \Rightarrow \left(\frac{3}{7}\right)÷\left(\frac{8}{7}\right)=\frac{3}{8} \end{gathered}$$ $\left[\because \frac{a}{b}\times \frac{c}{d}=\frac{a\times c}{b\times d}\right]$

Hence, the value of $\left(\frac{3}{7}\right)÷\left(\frac{8}{7}\right)$ is $\frac{3}{8}$.