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?

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frika frika · Answer 1 · 2018-08-03T23:23:40+02:00

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

since

Karen receives - [tex] \frac{1}{8} [/tex],

James receives - [tex] \frac{1}{4}=\frac{2}{8} [/tex],

Frank receives - [tex] \frac{3}{8} [/tex],

then [tex] \frac{1}{8} +\frac{2}{8} +\frac{3}{8} =\frac{1+2+3}{8}=\frac{6}{8} =\frac{2\cdot 3}{2\cdot 4} =\frac{3}{4} [/tex].

All inheritance is the whole 1, then for Dan remains [tex] 1-\frac{3}{4} =\frac{4}{4} -\frac{3}{4} =\frac{4-3}{4} =\frac{1}{4} [/tex].

Answer: Dan receives one quarter of the inheritance.

applelulu applelulu · Answer 2 · 2019-04-23T21:35:35+02:00

The answer is [tex]\frac{1}{4}[/tex]

Explanation

[tex]\frac{1}{8}+\frac{1}{4}+\frac{3}{8}[/tex]

[tex]=\frac{1}{8}+\frac{2}{8}+\frac{3}{8}[/tex]

[tex]=\frac{6}{8}=\frac{3}{4}[/tex]

[tex]1-\frac{3}{4}=\frac{1}{4}[/tex]

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