\(\frac{a}{b}=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{99}+\frac{1}{100}\)
\(\frac{a}{b}=\frac{59400+29700+19800+600+594}{59400}\)
\(\frac{a}{b}=\frac{110094}{59400}\)
\(\frac{a}{b}=\frac{18349}{9900}\)
\(\Rightarrow a=18349\)
Mà \(18349:101=181dư68\)
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