Question

State true or false:
$\left(i\right)$$\frac{30}{40}$ and $\frac{12}{16}$ are equivalent fractions

Answer 1

Converting $\frac{30}{40}$ to the lowest form.

Dividing the numerator and the denominator by $HCF$ of $30$ and $40$ equals to $10$ we get,
$\frac{30}{40}=\frac{30÷10}{40÷10}=\frac{3}{4}$

Converting $\frac{12}{16}$ to the lowest form

Dividing the numerator and the denominator by $HCF$ of $12$ and $16$ equals to $4$ we get,
$\frac{12}{16}=\frac{12÷4}{16÷4}=\frac{3}{4}$

As the lowest forms of both the fractions are equal hence, $\frac{30}{40}$ and$\frac{12}{16}$ are equivalent fractions.

Therefore, The given statement is True.