Question

write any three rational number between 5/6 and 6/7
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Answer 1

Ans:- Let x = 5/6 , y = 6/7 and n = 3

therefore d = (y - x)/(n + 1)

= (6/7 - 5/6)/(3 + 1)

= 1/42/4 = 1/42 × 1/4 = 1/168

Then (x + d), (x + 2d), (x + 3d) are the rational number

= (5/6 + 1/168), (5/6 + 2/168), (5/6 + 3/168)

= 141/168, 142/168, 143/168

= 47/56, 71/84, 143/168 are the rational number found between 5/6 and 6/7