Identify which of the following fractions hol… | GMAT Sprint

Free Practice Question

PS · Problem Solving

555-605

Fractions/Ratios/Decimals

Identify which of the following fractions holds the highest value.

Correct answer marked below

\frac{3}{(4^2)(6^2)}

\frac{4}{(4^2)(6^2)}

Correct

\frac{9}{(4^3)(6^2)}

\frac{60}{(4^3)(6^3)}

\frac{90}{(4^4)(6^5)}

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Explanation

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Official Explanation

Official

To determine which fraction is the largest, we can analyze each option.

(A)

\frac{3}{(4^2)(6^2)}

is equivalent to

\frac{3}{16 \cdot 36} = \frac{3}{576}

.

(B)

\frac{4}{(4^2)(6^2)}

simplifies to

\frac{4}{576}

.

(C)

\frac{9}{(4^3)(6^2)}

can be calculated as

\frac{9}{64 \cdot 36} = \frac{9}{2304}

.…

Comments

pranavFeb 3, 2024

thank you taking time to upload it!

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.