Question : What is the value of $\frac{\frac{1}{3}+\frac{1}{3}\times\frac{1}{3}}{\frac{1}{3}\times\frac{1}{3}+\frac{1}{3}}$?
Option 1: 1
Option 2: 3
Option 3: $\frac{1}{3}$
Option 4: $\frac{1}{2}$
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Correct Answer: 1
Solution :
Given:
$\frac{\frac{1}{3}+\frac{1}{3}\times\frac{1}{3}}{\frac{1}{3}\times\frac{1}{3}+\frac{1}{3}}$
$= \frac{\frac{1}{3}+\frac{1}{9}}{\frac{1}{9}+\frac{1}{3}}$
$= \frac{\frac{4}{9}}{\frac{4}{9}}$
$= 1$
Hence, the correct answer is 1.
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