AMC8 1993

AMC8 1993 · Q2

AMC8 1993 · Q2. It mainly tests Fractions, GCD & LCM.

When the fraction 49/84 is expressed in simplest form, then the sum of the numerator and the denominator will be

将分数49/84化成最简形式后，分子和分母的和是

(A) 11 11

(B) 17 17

(D) 33 33

(E) 133 133

Answer

Correct choice: (C)

正确答案：（C）

Solution

$\frac{49}{84}=\frac{7\times7}{7\times12}=\frac{7}{12}.$ The sum of the numerator and the denominator is $7+12=19$.

$\frac{49}{84}=\frac{7\times7}{7\times12}=\frac{7}{12}$。分子与分母之和为 $7+12=19$。

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