Question

1/2×2/3×3/4×...×2013/2014×2014/2015=?

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Answer 1

\(\frac{1}{2}.\frac{2}{3}.\frac{3}{4}............\frac{2014}{2015}=\frac{1}{2015}\)

Answer 2

\(\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times...\times\frac{2013}{2014}\times\frac{2014}{2015}\)

\(=\frac{1\times2\times3\times...\times2013\times2014}{2\times3\times4\times...\times2014\times2015}\)

\(=\frac{1}{2015}\)

~Moon~