Express $\dfrac{2}{-7}$ as a rational number with denominator

(i) 42

(ii) -28

(i) Denominator 42

Clearly, (-7) x (-6) = 42.

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

$\dfrac{2}{-7} = \dfrac{2 \times (-6)}{-7 \times (-6)} = \dfrac{-12}{42}$

∴ The rational number with denominator 42 is $\dfrac{-12}{42}$.

(ii) -28

Clearly, (-7) x 4 = -28.

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

$\dfrac{2}{-7} = \dfrac{2 \times 4}{-7 \times 4} = \dfrac{8}{-28}$

∴ The rational number with denominator $-28$ is $\dfrac{8}{-28}$.