Question

find two rational number between 3/2 and 4/3

Answer 1

Find two rational number between 3/2 and 4/3.

SOLUTION :-

First we need to make the denominator same..

So,     3/2 = (3 × 3) /(2 × 3) = 9/6

         4/3 = (4 × 2) /(3 × 2) = 8/6

We have,

     3/2 =  9/6 = (9 × 10) /(6 × 10) = 90/60 and, 4/3 = 8/6 = (8 × 10) /(6 × 10) = 80/60

∴  90/60 and 80/60 are the numbers.

Hence, 2 rational numbers between 3/2 = 90/60 and 4/3 = 80/60 are :

              82/60 = 41/30

                      and

              86/60 = 43/30

⇒ 41/30 and 43/30

       HOPE IT HELPS ...