AMC 8 1992 Problem 2

AMC8 1992 年第 2 题

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Which of the following is not equal to 54\dfrac{5}{4} ?
以下哪个不等于 54\dfrac{5}{4}?
  1. A.108\dfrac{10}{8}
  2. B.1141\dfrac{1}{4}
  3. C.13121\dfrac{3}{12}
  4. D.1151\dfrac{1}{5}
  5. E.110401\dfrac{10}{40}

正确答案 · Correct Answer

D

解析 · Solution

Solution 1

The fraction in question is equal to $1.25$. Expressing all of the choices we have,
(A)1.25(B)1.25(C)1.25(D)1.2(E)1.25\text{(A)}1.25 \qquad \text{(B)}1.25 \qquad \text{(C)}1.25 \qquad \text{(D)}1.2 \qquad \text{(E)}1.25.
It's clear then that choice D\text{D} is the answer.
A quick glance shows that D\text{D} is the only answer with a denominator that does not have 4 as a factor, so it is unlikely that it will simplify into 54\displaystyle \frac{5}{4}.

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