Question

Find five rational numbers between 2/3 and 4/5

Answer 1

Step 1.) Equal the Denominators

2/3 = 2 × 5 / 3 × 5 = 10 /15

4/5 = 4 × 3 / 5 × 3 = 12 / 15

Step 2.) Multiply both numbers by ( n + 1), n is the number of rational numbers you have to find.

10 × 6 / 15 × 6 = 60 / 90

12 × 6 / 15 × 6 = 72 / 90

Required rational numbers are :-

61/90, 62 / 90, 63/ 90, 64/90, 65/ 90, 66/90 etc

Answer 2

Step 1.) Equal the Denominators

2/3 = 2 × 5 / 3 × 5 = 10 /15

4/5 = 4 × 3 / 5 × 3 = 12 / 15

Step 2.) Multiply both numbers by ( n + 1), n is the number of rational numbers you have to find.

10 × 6 / 15 × 6 = 60 / 90

12 × 6 / 15 × 6 = 72 / 90

Required rational numbers are :-

61/90, 62 / 90, 63/ 90, 64/90, 65/ 90, 66/90 etc