Question

A man is 61 5/12 inches tall and his daughter is 58 4/9 inches tall. How much taller is the man?

Answer 1

Given:

Height of a man =
`61(5)/(12)` inches

Height of the daughter =
`58(4)/(9)` inches

To find:

How much taller is the man?

Solution:

It this problem, we need to find the difference between the heights of the man and his daughter.

Difference between the heights
`=61(5)/(12)-58(4)/(9)`

`=(732+5)/(12)-(522+4)/(9)`

`=(737)/(12)-(526)/(9)`

Taking LCM, we get

Difference between the heights
`=(3(737)-4(526))/(36)`

`=(2211-2104)/(36)`

`=(107 )/(36)`

`=2(35 )/(36)`

Therefore, the man is
`2(35)/(36)` inches taller than his daughter.