Question

Find whether the two fractions are equivalent or not.

$\frac{4}{9}$ and $\frac{48}{108}$

Answer 1

Checking whether the fractions are equivalent or not:

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.

Given fractions are $\frac{4}{9}$ and $\frac{48}{108}$

Using the cross-product method,

$$\begin{gathered} 4\times 108=432 \\ 48\times 9=432 \end{gathered}$$

After cross product, we will get

$$\begin{gathered} 4\times 108=48\times 9 \\ 432=432 \end{gathered}$$

Therefore, the given fractions are equivalent. i.e., $\frac{4}{9}=\frac{48}{108}$