Question

Check whether the given fractions are equivalent or not.

$\frac{4}{5}$ and $\frac{24}{30}$

Answer 1

If the two fractions when reduced to their simplest forms are equal i.e. when two or more fractions represent the equal parts of a whole, they are called equivalent fractions. Thus, to check whether the given fractions are equivalent we will reduce them to the simplest forms through the following steps:

Step $1$: Converting $\frac{4}{5}$into simplest form.

$\frac{4}{5}$ has been reduced to its simplest form because the common factor of numerator and denominator is one.

Step $2$: Converting $\frac{24}{30}$ into simplest form.

We have, $\frac{24}{30}$$=\frac{24÷6}{30÷6}$ [ dividing numerator and denominator $6$ ]

$=\frac{4}{5}$

Now $\frac{4}{5}$ is the simplest form because the common factor of numerator and denominator is one.

Therefore, $\frac{4}{5}$ and $\frac{24}{30}$ are equivalent fractions.