Question

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\(\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}\times...\times\frac{98}{99}\times\frac{99}{100}\)

Answer 1

\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot\frac{4}{5}...\cdot\frac{98}{99}\cdot\frac{99}{100}\)

\(=\frac{1}{100}\)

#

Answer 2

\(\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.\frac{4}{5}.....\frac{98}{99}.\frac{99}{100}\)

\(=\frac{1.2.3.4.....98.99}{2.3.4.5.....99.100}\)

\(=\frac{1}{100}\)

Answer 3

Ta có :\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot\frac{4}{5}\cdot...\cdot\frac{98}{99}\cdot\frac{99}{100}\).

= \(\frac{1\cdot2\cdot3\cdot4\cdot...\cdot98\cdot99}{2\cdot3\cdot4\cdot5\cdot...\cdot99\cdot100}=\frac{1}{100}\).

Answer 4

1/2x2/3x3/4x4/5x....x98/99x99/100

=1/100

Tt vui vẻ^^

Answer 5

\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot\frac{4}{5}\cdot...\cdot\frac{98}{99}\cdot\frac{99}{100}\)

\(=\frac{1\cdot2\cdot3\cdot4\cdot...\cdot98\cdot99}{2\cdot3\cdot4\cdot5\cdot...\cdot99\cdot100}=\frac{1}{100}\)

Answer 6

\(\frac{1}{2}x\frac{2}{3}x\frac{3}{4}x\frac{4}{5}x...x\frac{98}{99}x\frac{99}{100}\)

\(=\frac{1.2.3.4.....98.99}{2.3.4.5.....99.100}\)

\(=\frac{1}{100}\)

Answer 7

\(\frac{1}{2}\)x \(\frac{2}{3}\)x \(\frac{3}{4}\)x \(\frac{4}{5}\)x...x \(\frac{98}{99}\)x \(\frac{99}{100}\)

= \(\frac{1x2x3x4x...x98x99}{2x3x4x5x...x99x100}\)

= \(\frac{1}{100}\)