To add the fractions \( \frac{1}{3} \) and \( \frac{2}{6} \), you need a common denominator.
The denominator of \( \frac{1}{3} \) is 3 and the denominator of \( \frac{2}{6} \) is 6. The least common denominator (LCD) is 6.
Now, convert \( \frac{1}{3} \) to have a denominator of 6: \[ \frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6} \]
Now you can add the fractions: \[ \frac{2}{6} + \frac{2}{6} = \frac{2 + 2}{6} = \frac{4}{6} \]
To simplify \( \frac{4}{6} \): \[ \frac{4}{6} = \frac{2}{3} \]
So, \( \frac{1}{3} + \frac{2}{6} = \frac{2}{3} \).
