1987 AMC 8 Problem 13
Attempt Problem 13 of the 1987 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1987 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
13.
Which of the following fractions has the largest value?
Answer: E
Small hint:
Compare each fraction to
Big hint:
A fraction is more than exactly when its numerator is more than half its denominator
Solution:
For and each numerator is less than half its denominator, so each is less than
For the numerator is more than half of so this fraction exceeds and is the largest.
Thus, the correct answer is E .
Problem 13 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
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