Which fraction is equal to \(0.2\overline{3}\)?
A. \(\frac{23}{90}\)
B. \(\frac{23}{99}\)
C. \(\frac{7}{33}\)
D. \(\frac{7}{30}\)
A. \(\frac{23}{90}\)
B. \(\frac{23}{99}\)
C. \(\frac{7}{33}\)
D. \(\frac{7}{30}\)
Best answer
Answer: D. \(\frac{7}{30}\)
Answer: (D) \(\frac{7}{30}\)
Mixed recurring: (all digits − non-recurring part) over 9 for each recurring digit and 0 for each non-recurring digit: \(\frac{23 - 2}{90} = \frac{21}{90} = \frac{7}{30}\).
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