Question

Find five rational numbers between
$\frac{-2}{5}$ and $\frac{3}{-5}$

Answer 1

Answer:

2/5 = (2×4) / (5×4) = 8/20

3/5 = (3×4) / (5×4) = 12/20

Hence, 9/20, 10/20 and 11/20 are three rational numbers between 2/5 and 3/5.

Answer 2

Answer:

Since the given numbers have same denominator, we can find rational numbers between them by expanding them using their equivalent fractions.

Multiply numerator and denominator of the given numbers by 5 + 1 =  6(as we need 5 rational numbers between them).

⇒ $\dfrac{2}{5} \times \dfrac{6}{6} = \dfrac{12}{30}$ and$\dfrac{3}{5} \times  \dfrac{6}{6} = \dfrac{18}{30}$

Hence, the required numbers are :-

 $\dfrac{13}{30}, \dfrac{14}{30}, \dfrac{15}{30} , \dfrac{16}{30} and \dfrac{17}{30}$