Question

find the three rational no . between 1/4&1/2 by mean method

Answer 1

1/4=10/40

1/2=20/40

All numbers n/40 where n ranges from 10 to 20 (like 11/40,12/40,13/40…) are some of the infinite rational numbers in between 1/4 and 1/2

Answer 2

Given
1 / 4 & 1 / 2
Mean method means just add both fractions and then divide it by 2.
(1 / 4 + 1 / 2) / 2
Lcm 4
[(1 + 2) / 4] / 2
(3 / 4) / 2
= 3 / 8 this is the first rational no.

(1 / 2 + 3 / 8) / 2
Lcm is 8
[(4 + 3) / 8] / 2
(7 / 8) / 2
= 7 / 16 this is the second rational no.

(1 / 4 + 3 / 8) / 2
Lcm is 8
[(2 + 3) / 8] / 2
(5 / 8) / 2
= 5 / 16 this is the third rational no.

Therefore, the rational numbers between 1 / 4 & 1 / 2 are 5 / 16, 3 / 8 & 7 / 16.