Question

Check whether the following fractions are equivalent or not.

$\frac{4}{9}$and $\frac{12}{27}$

Answer 1

Given,

$\frac{4}{9}$and $\frac{12}{27}$

Using the cross-product method.

$$\begin{gathered} 4\times 27=108 \\ 12\times 9=108 \end{gathered}$$

According to the question, after the cross-product method.

$4\times 27=12\times 9$

$108=108$

Therefore, the given fractions are equal. i,e.$\frac{4}{9}=\frac{12}{27}$