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1987 AJHSME Problems/Problem 13

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Problem

Which of the following fractions has the largest value?

\text{(A)}\ \frac{3}{7} \qquad \text{(B)}\ \frac{4}{9} \qquad \text{(C)}\ \frac{17}{35} \qquad \text{(D)}\ \frac{100}{201} \q...

Solution

Note that the first four choices are a little less than \frac{1}{2}, but the last choice is just above \frac{1}{2}. Thus, the largest fraction is clearly \boxed{\text{E}}

See Also

1987 AJHSME (ProblemsResources)
Preceded by
Problem 12
Followed by
Problem 14
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
Want to learn how to tackle those tough AMC/AIME/Olympiad counting and probability problems? Check out Art of Problem Solving's Intermediate Counting & Probability by David Patrick.
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