Question

find a rational number between-2/5 and 1/2​

Answer 1

To find : a rational numbers between $\frac{-2}{5}$  and $\frac{1}{2}$

Solution:

• According question we have to find rational numbers between  $\frac{-2}{5}$  and $\frac{1}{2}$  for this we need to equalize denominators of the rational numbers by taking LCM.

• Therefore, LCM = $10$

• Now, multiplying numerators by same numbers as multiplied by denominator to make LCM .

• We get, $\frac{-2}{5}=\frac{-2 \times 2}{10}=\frac{-4}{10} and \frac{1}{2}=\frac{1 \times 5}{10}=\frac{5}{10}$

• Now, we can find rational numbers between $\frac{-4}{10}$  and $\frac{5}{10}$

• We can write $7$ rational numbers between $\frac{-4}{10}$  and $\frac{5}{10}$ but we are asked to find only one rational number between them . Therefore, we write $\frac{4}{10}$ as one of the rational number between them .

Hence, a rational numbers between  $\frac{-4}{10}$  and $\frac{5}{10}$ is $\frac{4}{10 }$ .