Question

Find any three rational numbers between 2/5 and 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

Given: Two rational numbers $\frac{2}{5}$ and $\frac{3}{5}$

To find: Three rational numbers between given numbers

Solution: 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 3 + 1 =  4(as we need 3 rational numbers between them).

⇒ $\frac{2}{5}$ × $\frac{4}{4} = \frac{8}{20}$ and $\frac{3}{5}$ × $\frac{4}{4} = \frac{12}{20}$

∵ 8 < 9 < 10 < 11 < 12

Hence, the required numbers are $\frac{9}{20}, \frac{10}{20}, and \ \frac{11}{20}$.