Question

find a rational no. between 3/8 and 2/5

Answer 1

hey friend,here's your answer:

first we need to make the denominators equal.
3/8=15/40
2/5=16/40
since a rational number between 3/8 and 2/5 is not yet there we further multiply them by 2.
15/40=30/80
16/40=32/80
now 31/80 is a rational number between 3/8 and 2/5.

hope ut helps
#aditya

Answer 2

Given: Two rational numbers $\frac{3}{8}$ and $\frac{2}{5}$

To find: A rational number between the given numbers

Solution: Given rational numbers have different denominators. We need to make their denominators same.

LCM of their denominators 8 and 5 = 40

To convert the rational numbers with same denominators, we have

$\frac{3}{8} = \frac{3}{8}$ × $\frac{5}{5} = \frac{15}{40}$ and $\frac{2}{5} = \frac{2}{5}$ × $\frac{8}{8} = \frac{16}{40}$

To insert a rational number, we need to multiply both numerator and denominator of given rational numbers with 1 + 1 i.e., 2

$\frac{15}{40} = \frac{15}{40}$ × $\frac{2}{2} = \frac{30}{80}$  and $\frac{16}{40} = \frac{16}{40}$ × $\frac{2}{2} = \frac{32}{80}$

We see that 31 is the integer between 30 and 32.

Hence, a rational number between $\frac{3}{8}$ and $\frac{2}{5}$ is $\frac{31}{80}$ .