Question

The simplest form of \( 0.\overline{3} + 0.\overline{4} \) is:

• A. \( \frac{7}{10} \)
• B. \( \frac{7}{9} \)
• C. \( \frac{7}{11} \)
• D. \( \frac{7}{99} \)

Hint:

Convert repeating decimals to fractions using algebraic methods.

Answer 1

The Correct Option is A

Convert repeating decimals into fractions:
\[ 0.\overline{3} = \frac{1}{3}, \quad 0.\overline{4} = \frac{2}{5}. \] Finding LCM of 3 and 5:
\[ \frac{5}{15} + \frac{6}{15} = \frac{7}{10}. \]