RoboClean, a company, asserts that its latest robotic cleaner, CleanBot, can eliminate 3/4 of the dirt in a residence during each operation. If Alex operates his CleanBot for four consecutive cycles, what portion of the dirt in his residence will be eliminated?

Answer Choices

Correct answer marked below

250/256

1/256

1/128

59/64

255/256

Correct

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Explanation

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Official Explanation

Official

RoboClean claims that its new robotic cleaner, CleanBot, will remove 3/4 of the dirt in a residence during each operation. If Alex runs his CleanBot for four cycles in a row, we can calculate the fraction of dirt removed.

The fraction of dirt remaining after one cycle is 1 - 3/4 = 1/4.…

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Comments

KrishnanMar 31, 2025

thanks a lot

RyanMay 20, 2024

Great!

AnhAug 28, 2024

Thanks for sharingThank you for sharing!!thanks for sharing

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.