\(\frac{1}{3}+\frac{1}{6}+\frac{1}{12}+\frac{1}{24}+\frac{1}{48}+\frac{1}{96}\)
\(=\frac{32}{96}+\frac{16}{96}+\frac{8}{96}+\frac{4}{96}+\frac{2}{96}+\frac{1}{96}\)
\(=\frac{63}{96}=\frac{21}{32}\)
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