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# Find ten rational numbers between $\dfrac{{ - 2}}{5}$ and $\dfrac{1}{2}$.

Last updated date: 11th Aug 2024
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Hint: Comprehending two fractions is easier when the denominator is equal for both of them. Make the denominators of both the fractions equal by multiplying them with a factor, then consider the rational numbers to find the answer.

Numbers ⟶ $\dfrac{{ - 2}}{5}$ and $\dfrac{1}{2}$.
For $\dfrac{{ - 2}}{5}$, multiply the factor ‘4’ on the numerator and denominator
⟹$\dfrac{{ - 2 \times 4}}{{5 \times 4}}$= $\dfrac{{ - 8}}{{20}}$
For $\dfrac{1}{2}$, multiply the factor ‘10’ on the numerator and denominator
⟹$\dfrac{{1 \times 10}}{{2 \times 10}}$=$\dfrac{{10}}{{20}}$
Therefore, ten rational numbers between $\dfrac{{ - 8}}{{20}}$ and $\dfrac{{10}}{{20}}$are$\dfrac{{ - 7}}{{20}},\dfrac{{ - 6}}{{20}},\dfrac{{ - 5}}{{20}},\dfrac{{ - 4}}{{20}},\dfrac{{ - 3}}{{20}},\dfrac{1}{{20}},\dfrac{2}{{20}},\dfrac{3}{{20}},\dfrac{4}{{20}},\dfrac{5}{{20}}$.