Question

Insert three rational number between 3/4 and 5/7

Answer 1

Step-by-step explanation:

Sol : L.C.M of 5 and 7 is 35.

⇒ 2/5 = 2×7/5×7 = 14 /35.

⇒ 3/7 = 3×5/7×5 = 15/35.

By multiplying the numerator and denominator of 14/35 and 15/35 by 4.

⇒ 14/35 = 14 × 4 /35 × 4 = 56/140

⇒15/35 = 15×4 / 35 × 4 = 60 / 140.

Three rational numbers = 57/140 , 58/140 ,59/140.

Note: There are infinite rational and irrational between two numbers. So, it is not necessary that these numbers match your answer sheet.

Answer 2

57/140 ,58/140,59/140

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