Simplification · Question 22 · Medium

Express the recurring decimal 0.2343434... (where 34 repeats) as a fraction in lowest terms.

  1. 232/999
  2. 116/495
  3. 29/124
  4. 58/247
Answer and explanation

Answer: B. 116/495

Explanation: For 0.2(34) recurring: (234 − 2)/990 = 232/990 = 116/495.

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