Question

Check whether the given fractions are equivalent or not.

$\frac{7}{11}$ and $\frac{21}{32}$

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 $\frac{7}{11}$into simplest form.

$\frac{7}{11}$ has been reduced to its simplest form because the common factor of numerator and denominator is one.

Step $2$: Converting $\frac{21}{32}$ into simplest form.

Also, $\frac{21}{32}$ 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 not equal. Therefore, $\frac{7}{11}$ and $\frac{21}{32}$ are not equivalent fractions.