Question

1. Find six rational numbers between 3/4and
4/5​

Answer 1

First rational number between 3/5 and 4/5 is 1/2(3/5 + 4/5) = 7/10

Second rational number is 1/2(3/5 + 7/10) = 13/20

Third rational number is 1/2(7/10 + 4/5) = 15/20 = 3/4

Fourth rational number is 1/2(7/10 + 13/20) = 27/40

Fifth rational number is 1/2(7/10 + 15/20) =29/40

Sixth rational number is 1/2(15/20 + 29/40) = 59/80