Let’s take an example
Find 3 Rational numbers between 1 & 2.
Since we need to find 3 rational numbers, multiply and divide by 4 .
1 × 4/4=4/4
& 2 × 4/4=8/4
∴ 3 rational numbers are 5/4, 6/4 & 7/4
Find 5 Rational numbers between 2/3 & 3/4
Step 1 : Make denominators equal.
2/3×4/4=8/12
& 3/4×3/3=9/12
Step 2 :- Since we need to find 5 rational numbers, multiply and divided by 6.
8/12×6/6=48/72
& 9/12×6/6=54/72
∴ 5 rational numbers 49/72, 50/72, 51/72, 52/72, 53/72