Question

Find the three rational numbers between 5 and 6 by the method of addition and dividing the sum by 2.

Answer 1

Answer:

How to find rational numbers between two given rational numbers?

If m and n be two rational numbers such that m < n then 1/2 (m + n) is a rational number between m and n.

1. Find out a rational number lying halfway between 2/7 and 3/4.

Solution:

Required number = 1/2 (2/7 + 3/4) 

= 1/2 ((8 + 21)/28) 

= {1/2 × 29/28) 

= 29/56

Hence, 29/56 is a rational number lying halfway between 2/7 and 3/4.

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