1993 AMC 8 Problem 2

Below is the professionally curated solution for Problem 2 of the 1993 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1993 AMC 8 solutions, or check the answer key.

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Concepts:fractiongreatest common divisor

Difficulty rating: 450

2.

When the fraction 4984\dfrac{49}{84} is expressed in simplest form, then the sum of the numerator and the denominator will be

1111

1717

1919

3333

133133

Solution:

Since 49=7×749 = 7 \times 7 and 84=7×12,84 = 7 \times 12, the fraction reduces to 712.\dfrac{7}{12}.

The sum of numerator and denominator is 7+12=19.7 + 12 = 19.

Thus, the correct answer is C .

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