Question
The sum of \(0.\overline{2}\) and \(0.\overline{5}\) is:
(a) \( \frac{7}{10} \)
(b) \( \frac{7}{9} \)
(c) \( \frac{7}{99} \)
(d) \( \frac{3}{10} \)
Solution
Convert recurring decimals into fractions:
\[ 0.\overline{2} = \frac{2}{9} \]
\[ 0.\overline{5} = \frac{5}{9} \]
Add them:
\[ \frac{2}{9} + \frac{5}{9} = \frac{7}{9} \]
Final Answer
✔ Correct option: (b) \( \frac{7}{9} \)