Which fraction is equal to the recurring decimal ?

Answer and explanation

Correct answer: A.

  1. Step 1: Let , so .
  2. Step 2: Subtract: , so .
  3. Step 3: Therefore .
Answer
.
Why not the others: : This is exactly, which stops after one digit. : This is , with a repeating block two digits long. : This is , a different decimal altogether.

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