Question

The fractions $\frac{2}{5}$and $\frac{16}{40}$are equivalent fractions.

• A. True
• B. False

Answer 1

The correct option is A True

Obtaining H.C.F of numerator $16$ and denominator $40$ of the fraction $\frac{16}{40}$.

Prime factor of $16$$=2\times 2\times 2\times 2$

Prime factor of $40$$=2\times 2\times 2\times 5$

H.C.F of $16$ and $40$$=2\times 2\times 2$$=8$

Now dividing numerator and denominator of $\frac{16}{40}$, we get

$\frac{16}{40}$$=\frac{16÷8}{40÷8}=\frac{2}{5}$

⇒ $\frac{2}{5}$$=$$\frac{16}{40}$

Thus, it is true that the fractions $\frac{2}{5}$and $\frac{16}{40}$are equivalent fractions.