Which fraction is equal to \(0.\overline{36}\)?
A. \(\frac{4}{11}\)
B. \(\frac{9}{25}\)
C. \(\frac{4}{9}\)
D. \(\frac{3}{11}\)
A. \(\frac{4}{11}\)
B. \(\frac{9}{25}\)
C. \(\frac{4}{9}\)
D. \(\frac{3}{11}\)
Best answer
Answer: A. \(\frac{4}{11}\)
Answer: (A) \(\frac{4}{11}\)
For a pure recurring decimal, write the repeating block over as many 9s: \(\frac{36}{99} = \frac{4}{11}\).
Trap: \(\frac{9}{25}\) = 0.36 (not recurring).
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