Question

Insert 6 rational numbers between 3/2&5/4

Answer 1

36/28,37/28,39/28,40/28,41/28,38/28

Answer 2

first we take lcm of denominators of 3/2 and 5/4

lcm of 2 and 4 is 4

∴ 3/2×2/2 = 6/4

now, we have 6/4 and 5/4

multiplying both the numbers by 100

we get; 600/400 and 500/400

now choose any 6 rational numbers between 600/400 and 500/400

here i take- 510/600, 520/600, 530/600, 540/600, 550/600, 560/600

now simplify;

and here  are your answers; 51/60, 13/15, 53/60, 9/10, 11/12, 14/15