Difference between revisions of "2012 AMC 8 Problems/Problem 20"
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Revision as of 21:00, 19 November 2019
Problem
What is the correct ordering of the three numbers , , and , in increasing order?
Solution 1
The value of is . Now we give all the fractions a common denominator.
Ordering the fractions from least to greatest, we find that they are in the order listed. Therefore, our final answer is .
Solution 2
Instead of finding the LCD, we can subtract each fraction from to get a common numerator. Thus,
All three fractions have common numerator . Now it is obvious the order of the fractions. . Therefore, our answer is .
Solution 3
Change into ; And Therefore, our answer is .
See Also
2012 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 19 |
Followed by Problem 21 | |
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 |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.