LCM of denominator 6 and 9 is 18
Make, denominator of each given rational number equal to 18 because of the LCM
5/6 = 5 × 3/6 × 3 = 15/18 and
8/9 = 8 × 2/9 × 2 = 16/18
So, 6 numbers are required so we add it to, 6+1=7
15/18 = 15 × 7/18 × 7 = 105/126 and
16/18 = 16 × 7/18 × 7 = 112/126
Required rational numbers between 5/6 and 8/9 are = 106/126, 107/126, 108/126, 109/126, 110/126, 111/126
= 53/63, 107/126, 6/7, 109/126, 55/63, 37/42
