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AMC 8
2022 AMC 8 -
8
8
Part of
2022 AMC 8 -
Problems
(1)
Product of Fractions
Source: 2022 AMC 8 (Winter) #8
1/25/2022
What is the value of
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\displaystyle\frac{1}{3}\cdot\displaystyle\frac{2}{4}\cdot\displaystyle\frac{3}{5}\cdots\displaystyle\frac{18}{20}\cdot\displaystyle\frac{19}{21}\cdot\displaystyle\frac{20}{22}?
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<span class='latex-bold'>(A)</span> ~\displaystyle\frac{1}{462}\qquad<span class='latex-bold'>(B)</span> ~\displaystyle\frac{1}{231}\qquad<span class='latex-bold'>(C)</span> ~\displaystyle\frac{1}{132}\qquad<span class='latex-bold'>(D)</span> ~\displaystyle\frac{2}{213}\qquad<span class='latex-bold'>(E)</span> ~\displaystyle\frac{1}{22}\qquad
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AMC 8