Question

Find the value of $x$ in the following case:

$\frac{11}{12}=\frac{121}{x}$

Answer 1

Finding the value of $x$:

We know, in two equivalent fractions, the product of the numerator of the first fraction and the denominator of the second fraction is equal to the product of the numerator of the second fraction and the denominator of the first fraction.

Given equivalent fractions:

$\Rightarrow \frac{11}{12}=\frac{121}{x}$

$$\begin{gathered} \Rightarrow 11\times x=121\times 12(ApplyingCross-Multiplication) \\ \Rightarrow x=\frac{121\times 12}{11} \\ \Rightarrow x=132 \end{gathered}$$

Hence, the value of $x$ is $132$.