Express $\dfrac{3}{8}$ as a rational number with denominator

(i) 48

(ii) -32

(i) Denominator 48

Clearly, 8 x 6 = 48.

So, we multiply the numerator as well as the denominator of the given rational number by 6.

$\dfrac{3}{8} = \dfrac{3 \times 6}{8 \times 6} = \dfrac{18}{48}$

∴ The rational number with denominator $48$ is $\dfrac{18}{48}$.

(ii) Denominator -32

Clearly, 8 x (-4) = -32.

So, we multiply the numerator as well as the denominator of the given rational number by -4.

$\dfrac{3}{8} = \dfrac{3 \times (-4)}{8 \times (-4)} = \dfrac{-12}{-32}$

∴ The rational number with denominator $-32$ is $\dfrac{-12}{-32}$.