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If one-eighth of the all fans cheer for the away team, and one-third of all fans do not cheer, then what fraction of all fans cheers for the home team?

A

$0$

B

$\frac{1}{3}$

C

$\frac{3}{8}$

D

$\frac{1}{2}$

E

$\frac{13}{24}$

F

$\frac{7}{8}$

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