Question

Find 10 rational numbers between −5/6 and 5/8.

Answer 1

-5/6 and 5/8

LCM of 6 and 8 = 24

-5/6 = -20/24

5/8 = 15/24

Therefore, ten rational numbers between - 5/6 and 5/8 = - 19/24, -17/24, -15/24, -12/24,

-8/24, 2/24, 4/24, 6/24, 7/24, 18/24

-19/24 = -19/24 - 17/24 = -17/24

-15/24 = - 5/8 - 12/24 = -1/2

-8/24 = -1/3 2/24 = 1/12

4/24 = 1/6 6/24 = 1/4

7/24 = 7/24 18/24 = 3/4

Therefore, ten rational numbers are

-19/24, -17/24, -5/8, -1/2, -1/3, 1/12, 1/6, 1/4, 7/24, 3/4.