Which fraction is equal to the recurring decimal ?

Answer and explanation

Correct answer: C.

  1. Step 1: Let . Then .
  2. Step 2: Subtract: , so .
  3. Step 3: Divide top and bottom by 9: .
Answer
.
Why not the others: : is exactly , which does not recur. : is , so the digit 5 is missing. : uses in the denominator instead of .

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