Question

find six rational number between 2/3 and 3/4​

Answer 1

Answer:

57/84, 58/84, 59/84, 60/84, 61/84 and 62/84

Step-by-step explanation:

LCM of denominators = 12

2/3 = (2×4) / (3×4) = 8/12

3/4 = (3×3) / (4×3) = 9/12

Now, both the fractions have been converted into like fractions.

8/12 = (8×7) / (12×7) = 56/84

9/12 = (9×7) / (12×7) = 63/84

Therefore, 57/84, 58/84, 59/84, 60/84, 61/84 and 62/84 are six rational numbers between 2/3 and 3/4.