The numerator of a fraction is multiple of two integers. One of the numbers is greater than the other by 2. If the greater number is smaller than the denominator by 4, what will be the minimum value of the fraction?

Correct answer marked below

-1

\frac{-1}{5}

Correct

\frac{1}{5}

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Explanation

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Official Explanation

Official

Let the denominator be

x

, therefore the numerator will be

(x-4)(x-6)

.

Fraction =

\frac{(x-4)(x-6)}{x}

What does

(x-4)(x-6)

tell you?

1) It tells us that x<4 and x>6, both terms will be negative and the value will be positive.…

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What this question tests

Your ability to convert between fractions, ratios, and decimals and to reason proportionally.

Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.