Question

Karen, James, Frank, and Dan were left an inheritance by their late grandfather. If Karen receives one-eighth of the inheritance, James receives one quarter of the inheritance, Frank receives three-eighths of the inheritance, and Dan receives the remainder, what fraction of the inheritance does Dan receive?

Answer 1

The answer is
`(1)/(4)`

Explanation

`(1)/(8)+(1)/(4)+(3)/(8)`

`=(1)/(8)+(2)/(8)+(3)/(8)`

`=(6)/(8)=(3)/(4)`

`1-(3)/(4)=(1)/(4)`

Answer 2

Count what fraction receive Karen, James and Frank in total:

since

Karen receives -
`(1)/(8)`,

James receives -
`(1)/(4)=(2)/(8)`,

Frank receives -
`(3)/(8)`,

then
`(1)/(8) +(2)/(8) +(3)/(8) =(1+2+3)/(8)=(6)/(8) =(2\cdot 3)/(2\cdot 4) =(3)/(4)`.

All inheritance is the whole 1, then for Dan remains
`1-(3)/(4) =(4)/(4) -(3)/(4) =(4-3)/(4) =(1)/(4)`.

Answer: Dan receives one quarter of the inheritance.