Question

Find three rational numbers between each of the following rational numbers.
a. 1/2 and 5/6
b.2/3 and 3/4
c. 2/7 and 3/8

Answer 1

first find the LCM of 2 and 6 and the case of B find the LCM of 3 and 4 and then in the case of c find LCM 78 case of a the LCM is 6 and B LCM will be12 and C LCM is 56 then find the answer easily

Answer 2

A) lcm of 2 and 6 is 6

1/2×3/3=3/6 and 5/6×1/1=5/6

now between 3/6 and 5/6 there is only one rational number 4/6

So,3/6×5/5 and 5/6 × 5/5

Three rational numbers are 15/30 , 16/30 , 17/30