Question

find the rational number between ⅗ and ¾​

Answer 1

Answer:

3/5 and 3/4 are the same as 12/20 and 15/20.

The two rational numbers between them are 13/20 and 14/20 (or 7/10)

Next form of the two fractions are 24/40 and 30/40. Here you can introduce 5 rational numbers between them: 25/40 (or 5/8), 26/40 (or 13/20), 27/40, 28/40 (or 7/10), 29/40.

Next form of the two fractions are 36/60 and 45/60. Here you can introduce 8 rational numbers between them: 37/60, 38/60 (or 19/30), 39/60 (or 13/20), 40/60 (or 2/3), 41/60, 42/60 (or 7/10), 43/60. 44/60 (or 11/15).

Next form of the two fractions are 48/80 and 60/80. Here you can introduce 11 rational numbers between them: 49/80, 50/80 (or 5/8), 51/80, 52/80 (or 13/80), 53/80, 54/80 (or 27/40), 55/80 (or 11/16), 56/80 (7/10), 57/80, 58/80 (or 29/40), 59/80.

Introducing 10 fractions can be done in the same way, but it will not be easy.

Answer 2

1. Taking LCM of 3/5 and 3/4
2. The LCM of 3/5 and 3/4 is 20
3. By LCM we get 12/20 and 15/20