1985 AJHSME Problems/Problem 1
Contents
[hide]Problem
Solution 1
By the associative property, we can rearrange the numbers in the numerator and the denominator.
Solution 2
Notice that the in the denominator of the first fraction cancels with the same term in the second fraction, the s in the numerator and denominator of the second fraction cancel, and the in the numerator of the first fraction cancels with the same term in the denominator second fraction. Then everything in the expression cancels, leaving us with .
Solution 3 (Brute Force)
(Note: This method is highly time consuming and should only be used as a last resort in math competitions)
Thus, the answer is 1, or
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See Also
1985 AJHSME (Problems • Answer Key • Resources) | ||
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Followed by Problem 2 | |
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