Question

# Write $\dfrac{{ - 14}}{{42}}$in a form so that the numerator is equal to: $42$.

Hint:By reading the above question, we can understand that we have to find an equivalent fraction for $\dfrac{{ - 14}}{{42}}$ where numerator is $42$. So, first convert the given fraction into the simplest form and multiply the desired number in the numerator as well as in the denominator to get the required equivalent fraction.

Given fraction = $\dfrac{{ - 14}}{{42}}$
$\Rightarrow \dfrac{{ - 14}}{{42}} = \dfrac{{ - 7}}{{21}} = \dfrac{{ - 1}}{3}$
As the given desired number in the numerator is $42$, multiply the numerator and denominator with $42$.
$\Rightarrow \dfrac{{ - 1 \times 42}}{{3 \times 42}}{\text{ = }}\dfrac{{ - 42}}{{126}}$
$\therefore \dfrac{{ - 42}}{{126}}$ is the equivalent fraction with the numerator $42$.