Sum of Recurring Decimals
Fill in the Blank:
\(0.\overline{3} + 0.\overline{4} = \) \(0.\overline{7}\)
Explanation:
\[ 0.\overline{3} = \frac{1}{3}, \quad 0.\overline{4} = \frac{4}{9} \]
\[ \frac{1}{3} = \frac{3}{9} \]
\[ \frac{3}{9} + \frac{4}{9} = \frac{7}{9} \]
\[ \frac{7}{9} = 0.\overline{7} \]
Final Answer:
\(0.\overline{7}\)