1992 AJHSME Problems/Problem 2

Problem

Which of the following is not equal to $\dfrac{5}{4}$ ?

$\text{(A)}\ \dfrac{10}{8} \qquad \text{(B)}\ 1\dfrac{1}{4} \qquad \text{(C)}\ 1\dfrac{3}{12} \qquad \text{(D)}\ 1\dfrac{1}{5} \qquad \text{(E)}\ 1\dfrac{10}{40}$

Solution 1

The fraction in question is equal to $1.25$ . Expressing all of the choices we have,

$\text{(A)}\ 1.25 \qquad \text{(B)}\ 1.25 \qquad \text{(C)}\ 1.25 \qquad \text{(D)}\ 1.2 \qquad \text{(E)}\ 1.25$ .

It's clear then that choice $\boxed{\text{D}}$ is the answer.

Solution 2 (low on time)

A quick glance shows that $\boxed{\text{D}}$ is the only answer with a denominator that does not have 4 as a factor, so it is unlikely that it will simplify into $\frac{5}{4}$ .

1992 AJHSME (Problems • Answer Key • Resources)
Preceded by Problem 1	Followed by Problem 3
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All AJHSME/AMC 8 Problems and Solutions

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1992 AJHSME Problems/Problem 2

Contents

Problem

Solution 1

Solution 2 (low on time)

See Also