Question

The sum of of $0.\overline{3}$ and $0.\overline{4}$ of is :

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

Answer 1

The correct option is B $\frac{7}{9}$

By converting the given decimal numbers in rational numbers, we get

$.3333....=\frac{3}{9}.4444....=\frac{4}{9}$

Now, by adding, we get

$\frac{3}{9}+\frac{4}{9}=\frac{7}{9}$

So, correct answer is option B.