1994 AMC 8 Problem 1

Below is the professionally curated solution for Problem 1 of the 1994 AMC 8, 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.

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Concepts:fraction

Difficulty rating: 560

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}

Solution:

Over the common denominator 2424, the fractions are 824,624,924,1024,\dfrac{8}{24}, \dfrac{6}{24}, \dfrac{9}{24}, \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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