# $$\frac{1}{100}$$

Without calculating decide that the statement below is true or false!

• If $$\dfrac{1}{1}+\dfrac{1}{2}+\dfrac{1}{3}+\dots+\dfrac{1}{100}=\dfrac{m}{n}$$, where $$m$$ and $$n$$ are coprime positive integers, then $$m$$ is divisible by $$505$$.
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