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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?

User Oferei
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2 Answers

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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)

User AMAN SINGH
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3 votes

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.

User MZywitza
by
7.0k points

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