Question

Insert 3 rational numbers between 5/6 and 8/9

Answer 1

Answer:

LCM of denominator 6 and 9 is 18

Make, denominator of each given rational number equal to 18 ex the LCM

5/6 = 5 × 3/6 × 3 = 15/18 and

8/9 = 8 × 2/9 × 2 = 16/18

Since, six rational numbers are required, multiply the numerator and denominator of each rational number by 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

Step-by-step explanation:

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