Question

Find the value of $x$ if $\frac{15}{9}$and $\frac{x}{12}$are equivalent rational numbers.

Answer 1

Given, $\frac{15}{9}$ and $\frac{x}{12}$ are equivalent rational numbers

$$\begin{gathered} \Rightarrow \frac{15}{9}=\frac{x}{12} \\ 9x=15\times 12 \\ x=\frac{15\times 12}{9} \\ =\frac{5\times 12}{3} \\ =5\times 4 \\ =20 \end{gathered}$$

Hence, the value of $X$ is $20.$.