Question

Is the given pair of fraction is an equivalent fractions ?

$\frac{1}{3},\frac{9}{27}$

Answer 1

Checking whether given pair of fractions are equivalent or not

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

The given pair of fractions are $\frac{1}{3},\frac{9}{27}$

Here, $\frac{1}{3}$is already in simplest form.

Now, converting $\frac{9}{27}$ into simplest form,we get

$\begin{array}{rcl}& \Rightarrow & \frac{9}{27}=\frac{9÷9}{27÷9}\\ & =& \frac{1}{3}\end{array}$

As we can see, simplest form of $\frac{9}{27}$ is $\frac{1}{3}$ which is same as the other given fraction $\frac{1}{3}$.

Hence, the given fraction are equivalent fraction.