Difference between revisions of "1987 AJHSME Problems/Problem 13"

(New page: ==Problem== Which of the following fractions has the largest value? <math>\text{(A)}\ \frac{3}{7} \qquad \text{(B)}\ \frac{4}{9} \qquad \text{(C)}\ \frac{17}{35} \qquad \text{(D)}\ \frac...)
 
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==Problem==
 
==Problem==
  
Which of the following fractions has the largest value?
+
Which of the following [[fraction|fractions]] has the largest value?
  
 
<math>\text{(A)}\ \frac{3}{7} \qquad \text{(B)}\ \frac{4}{9} \qquad \text{(C)}\ \frac{17}{35} \qquad \text{(D)}\ \frac{100}{201} \qquad \text{(E)}\ \frac{151}{301}</math>
 
<math>\text{(A)}\ \frac{3}{7} \qquad \text{(B)}\ \frac{4}{9} \qquad \text{(C)}\ \frac{17}{35} \qquad \text{(D)}\ \frac{100}{201} \qquad \text{(E)}\ \frac{151}{301}</math>
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==See Also==
 
==See Also==
  
[[1987 AJHSME Problems]]
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{{AJHSME box|year=1987|num-b=12|num-a=14}}
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[[Category:Introductory Algebra Problems]]

Revision as of 16:02, 29 May 2009

Problem

Which of the following fractions has the largest value?

$\text{(A)}\ \frac{3}{7} \qquad \text{(B)}\ \frac{4}{9} \qquad \text{(C)}\ \frac{17}{35} \qquad \text{(D)}\ \frac{100}{201} \qquad \text{(E)}\ \frac{151}{301}$

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 (ProblemsAnswer KeyResources)
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
All AJHSME/AMC 8 Problems and Solutions