Express $\dfrac{4}{9}$ as a rational number with numerator

(i) 24

(ii) -20

(i) Numerator 24

We know that 4 x 6 = 24. So, we multiply the numerator and the denominator of the given number by 6:

$\dfrac{4}{9} = \dfrac{4 \times 6}{9 \times 6} = \dfrac{24}{54}$

∴ The rational number with numerator $24$ is $\dfrac{24}{54}$.

(ii) Numerator -20

We know that 4 x (-5) = -20. So, we multiply the numerator and the denominator of the given number by -5:

$\dfrac{4}{9} = \dfrac{4 \times -5}{9 \times -5} = \dfrac{-20}{-45}$

∴ The rational number with numerator -20 is $\dfrac{-20}{-45}$.