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Problem 10 - Entrance Test

The number 0.00320320320... as a fraction in lowest terms is

Correct: B

Let x = 0.00320320... ⇒ 100x = 0.320320... ⇒ 100000x = 320.320320... Subtract: 99900x = 320 ⇒ x = 320/99900 = 32/9990 (dividing numerator and denominator by 10).