Question

find ten rational numbers between 3/5 and 3/4​

Answer 1

given :- 3/5 and 3/4

we have to find 10 rational numbers between them. so first of all, we have to check whether the denominator of both the rational number is same or not. if not, then we have to make them same.

here 5 and 4 are the denominators respectively. we can clearly see that these are not same.

=> LCM of 5 and 4 = 5 × 4 = 20

➡ 3/5 = (3 × 4)/(5 × 4) = 12/20

➡ 3/4 = (3 × 5)/(4 × 5) = 15/20

now, we have to find 10 rational numbers but there are only 3. so let's multiply both the rational number by 4

➡ 12/20 = 48/80

➡ 15/20 = 60/80

hence, 10 rational numbers between them are :- 49/80, 50/80, 51/80, 52/80, 53/80, 54/80, 55/80, 56/80, 57/80 and 58/80.

Answer 2

49by80 50/80 51/80 52/80 53/80 54/80 56/80 57/80 58/80 59/80