1994 AMC 8 Problem 1

Attempt Problem 1 of the 1994 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 1994 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

1.

Which of the following is the largest?
13\dfrac{1}{3}
14\dfrac{1}{4}
38\dfrac{3}{8}
512\dfrac{5}{12}
724\dfrac{7}{24}
Answer: D
Concepts:fraction
Small hint:
Rewrite all five fractions over one common denominator
Big hint:
The least common denominator of these fractions is 2424
Solution:
Over the common denominator 2424, the fractions are 824,\dfrac{8}{24}, 624,\dfrac{6}{24}, 924,\dfrac{9}{24}, 1024,\dfrac{10}{24}, and 724.\dfrac{7}{24}.
The largest numerator is 1010, so 512=1024\dfrac{5}{12} = \dfrac{10}{24} is the largest.
Thus, the correct answer is D .
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