Question

1/2.2/3.3/4. ... .99/100.100/101

Answer 1

\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot\cdot\cdot\frac{99}{100}\cdot\frac{100}{101}\)

\(=\frac{1}{101}\)

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Answer 2

\(\frac{1}{2}\). \(\frac{2}{3}\). \(\frac{3}{4}\). ....... . \(\frac{99}{100}\). \(\frac{100}{101}\)

= \(\frac{1.2.3........99.100}{2.3.4.......100.101}\)

= 1