Question

State true or false:
$\left(ii\right)$$\frac{10}{25}$ and $\frac{25}{10}$ are equivalent fractions

Answer 1

Convert $\frac{10}{25}$ to the lowest form.

Dividing the numerator and the denominator by $HCF$ of $10$ and $25$ equals to $5$ we get,
$\frac{10}{25}=\frac{10÷5}{25÷5}=\frac{2}{5}$

Converting $\frac{25}{10}$ to the lowest form

Dividing the numerator and the denominator by $HCF$ of $25$ and $10$ equals to $5$ we get,
$\frac{25}{10}=\frac{25÷5}{10÷5}=\frac{5}{2}$

As the lowest forms of both the fractions are not equal hence, $\frac{10}{25}$ and$\frac{25}{10}$ are not equivalent fractions.

Therefore, The given statement is False.