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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?

$0$

$\frac{1}{3}$

$\frac{3}{8}$

$\frac{1}{2}$

$\frac{13}{24}$

$\frac{7}{8}$