Question

Find a rational number halfway in between the two numbers 7/8 and 2/7

Answer 1

`$(65)/(112)$`

Explanation:

A rational number lying halfway between
`$(7)/(8) \text{ and } (2)/(7) $` is:

`$(1)/(2) \left ( (7)/(8) +(2)/(7) \right)$`

`$(1)/(2) \left ( (7(7))/(8(7)) +(2(8))/(7(8)) \right)$`

`$(1)/(2) \left ( (49)/(56) +(16)/(56) \right)$`

`$(1)/(2) \left ( (65)/(56) \right)$`

`$(65)/(112)$`

Answer 2

The answer is 325/560