Insert six rational successive averages between 6/7 and 8/9 with proper explanation and steps pls reply ASAP
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Insert six rational numbers between 5/6 and 8/9.
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asked Apr 26, 2019 in Class VIII Maths by aditya23 (-2,151 points)
Insert six rational numbers between 5/6 and 8/9.
rational numbers
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answered Apr 26, 2019 by priya12 (-12,635 points)
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