If a percentage r is represented as a fraction and simplified to its lowest terms, it takes the form m25 where m is an integer. Which of the following values could r represent?

If a percentage r is represented as a fractio… | GMAT Sprint

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Fractions/Ratios/Decimals

If a percentage r is represented as a fraction and simplified to its lowest terms, it takes the form $\frac{m}{25}$ where m is an integer. Which of the following values could r represent?

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Official Explanation

Official

We are told that a percentage

𝑟

r simplifies to a fraction of the form

\frac{m}{25}

, where

𝑚

m is an integer. We need to determine which of the given percentages reduces to this form when expressed as a fraction in lowest terms.

Let’s evaluate each option:

a)

20% = \frac{20}{100} = \frac{1}{5}

→ Not of the form

\frac{m}{25}

❌

b)

24% = \frac{24}{100} = \frac{6}{25}

→ This is of the form

\frac{m}{25}

✔️…

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Comments

DhanushAug 2, 2024

Great question!

PalakMar 14, 2024

thankss

What this question tests

What it tests

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

Common trap

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

If a percentage r is represented as a fraction and simplified to its lowest terms, it takes the form m25 \frac{m}{25}25m​ where m is an integer. Which of the following values could r represent?