\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot\frac{4}{5}...\cdot\frac{98}{99}\cdot\frac{99}{100}\)
\(=\frac{1}{100}\)
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\(\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.\frac{4}{5}.....\frac{98}{99}.\frac{99}{100}\)
\(=\frac{1.2.3.4.....98.99}{2.3.4.5.....99.100}\)
\(=\frac{1}{100}\)
Ta có :\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot\frac{4}{5}\cdot...\cdot\frac{98}{99}\cdot\frac{99}{100}\).
= \(\frac{1\cdot2\cdot3\cdot4\cdot...\cdot98\cdot99}{2\cdot3\cdot4\cdot5\cdot...\cdot99\cdot100}=\frac{1}{100}\).
1/2x2/3x3/4x4/5x....x98/99x99/100
=1/100
Tt vui vẻ^^
\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot\frac{4}{5}\cdot...\cdot\frac{98}{99}\cdot\frac{99}{100}\)
\(=\frac{1\cdot2\cdot3\cdot4\cdot...\cdot98\cdot99}{2\cdot3\cdot4\cdot5\cdot...\cdot99\cdot100}=\frac{1}{100}\)
\(\frac{1}{2}x\frac{2}{3}x\frac{3}{4}x\frac{4}{5}x...x\frac{98}{99}x\frac{99}{100}\)
\(=\frac{1.2.3.4.....98.99}{2.3.4.5.....99.100}\)
\(=\frac{1}{100}\)
\(\frac{1}{2}\)x \(\frac{2}{3}\)x \(\frac{3}{4}\)x \(\frac{4}{5}\)x...x \(\frac{98}{99}\)x \(\frac{99}{100}\)
= \(\frac{1x2x3x4x...x98x99}{2x3x4x5x...x99x100}\)
= \(\frac{1}{100}\)