Question

Check whether the given fractions are equivalent or not.

$\frac{45}{81}$ and $\frac{5}{9}$

Answer 1

Step $1$: Converting $\frac{5}{9}$into simplest form.

$\frac{5}{9}$ has been reduced to its simplest form because the common factor of numerator and denominator is one.

Step $2$: Converting $\frac{45}{81}$ into simplest form.

We have, $\frac{45}{81}$$=\frac{45÷9}{91÷9}$ [ dividing numerator and denominator $9$ ]

$=\frac{5}{9}$

Now $\frac{5}{9}$ is the simplest form because the common factor of numerator and denominator is one.

From Step $1$ and Step $2$, we conclude that both the fractions are equal.

Hence, $\frac{5}{9}$ and $\frac{45}{81}$ are equivalent fractions.