Identify which of the following fractions represents the highest value.

Correct answer marked below

\frac{8}{(2^2)(5^2)}

Correct

\frac{2}{(2^3)(5^2)}

\frac{35}{(2^2)(5^3)}

\frac{70}{(2^3)(5^3)}

\frac{140}{(2^4)(5^3)}

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Explanation

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Official Explanation

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To determine which fraction is the largest, we can evaluate each one. Starting with option (A), we have

\frac{8}{(2^2)(5^2)} = \frac{8}{4 \cdot 25} = \frac{8}{100} = 0.08.

For option (B),

\frac{2}{(2^3)(5^2)} = \frac{2}{8 \cdot 25} = \frac{2}{200} = 0.01.

Next, option (C) gives us [m]\frac{35}{(2^2)(5^3)} =…

Comments

ChrisFeb 13, 2025

Good question

KonstantinaJan 22, 2025

greatt question!

PratikAug 22, 2024

Can someone explain it other way?

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.