Question

find a rational number between 2/3 and 3/4 make sure that the denominator should be same​

Answer 1

given :- 2/3 and 3/4

first of all, we have to make sure whether the denominator of both rational number is equal or not. if not first we have to make them equal.

LCM of 3 and 4 = 12

➡ 2/3 = (2 × 4)/(3 × 4) = 8/12

➡ 3/4 = (3 × 3)/(4 × 3) = 9/12

but still there's no rational number between them.

we have to find 10.

so let's multiply both the rational numbers by = 10 + 1 = 11

➡ 8/12 = 88/132

➡ 9/12 = 99/132

hence, 10 rational numbers between them are :- 89/132, 90/132, 91/132, 92/132, 93/132, 94/132, 95/132, 96/132, 97/132 and 98/132.