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Given fraction = \[\dfrac{{ - 14}}{{42}}\]

Now try to convert the given fraction into the simplest form.

\[ \Rightarrow \dfrac{{ - 14}}{{42}} = \dfrac{{ - 7}}{{21}} = \dfrac{{ - 1}}{3}\]

Now to get the desired number in the numerator, multiply the desired number in the numerator as well as in the denominator.

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 \[42\].

All the fractions that we have got in the above problem are equivalent fractions.