Express $\dfrac{-48}{36}$ as a rational number with numerator

(i) -4

(ii) 8

(i) -4

We know that (-48) ÷ 12 = -4.

So, we divide the numerator and the denominator of the given number by 12:

$\dfrac{-48}{36} = \dfrac{-48 \div 12}{36 \div 12} = \dfrac{-4}{3}$

∴ The rational number with numerator $-4$ is $\dfrac{-4}{3}$.

(ii) 8

We know that (-48) ÷ (-6) = 8.

So, we divide the numerator and the denominator of the given number by -6:

$\dfrac{-48}{36} = \dfrac{-48 \div (-6)}{36 \div (-6)} = \dfrac{8}{-6}$

∴ The rational number with numerator $8$ is $\dfrac{8}{-6}$.