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Problem 5 - Entrance Test

The number 2.347347... can be expressed as a fraction in lowest terms as

Correct: C

Let x = 2.347347... ⇒ 1000x = 2347.347... Subtract: 999x = 2345 ⇒ x = 2345/999 = 782/333 (dividing numerator and denominator by 3).