ACT Math Practice Question #1469 (Medium (30)) | Test Citadel
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ACT Math Difficulty: Medium (30)

Digital ACT Math Practice Question #1469

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Which fraction in simplest form is equal to the repeating decimal 0.545454... (0.54 with a bar over 54)?
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Two repeating digits over 99: 54 / 99 = 6 / 11.

Masterclass Solution & Distractor Trap Analysis

Let x = 0.5454... Then 100x = 54.5454... Subtracting: 99x = 54 -> x = 54 / 99. Dividing numerator and denominator by 9 gives 6 / 11....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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