Question

Find the value of $X$ if $\frac{2x}{5}$ and $\frac{28}{35}$ are equivalent rational numbers.

Answer 1

Given, $\frac{2x}{5}$and $\frac{28}{35}$ are equivalent rational numbers

$$\begin{gathered} \Rightarrow \frac{2x}{5}=\frac{28}{35} \\ \Rightarrow 2x\times 35=28\times 5 \\ 2x=\frac{28\times 5}{35} \\ x=\frac{28\times 5}{35\times 2} \\ =\frac{4\times 5}{5\times 2} \\ =2 \end{gathered}$$

Hence, the value of $X$ is $2.$