Find the five rational number lying between square of 5/6 and 6/7

Question

asked Sep 25, 2021 184k views

2 Answers

Mattia Galati · Answer 1 · 2021-09-26T08:10:23+0000

Answer:

1229/1764, 1231/1764, 179/252, 1255/1754 and 185/252.

Explanation:

(5/6)^2 = 25/36

(6/7)^2 = 36/49

LCM of 36 and 49 is 1764

So 25/36 = 25 * 49 / 1764 = 1225/1764

and 36/49 = 36 * 36 / 1764 = 1296/1764

So the 5 rational numbers could be:

1229/1764, 1231/1764, 1253/1764 ( = 179/252), 1255/1764 and 1295/1764 (= 185/ 252).