1/2 + 2/6 ? 1/6 + 1/2

Answer 1

To simplify the expressions \( \frac{1}{2} + \frac{2}{6} \) and \( \frac{1}{6} + \frac{1}{2} \), we will first convert them to have a common denominator.

For \( \frac{1}{2} + \frac{2}{6} \):

1. Convert \( \frac{1}{2} \) to a fraction with a denominator of 6: \[ \frac{1}{2} = \frac{3}{6} \]
2. Now, add: \[ \frac{3}{6} + \frac{2}{6} = \frac{5}{6} \]

For \( \frac{1}{6} + \frac{1}{2} \):

1. Convert \( \frac{1}{2} \) to a fraction with a denominator of 6: \[ \frac{1}{2} = \frac{3}{6} \]
2. Now, add: \[ \frac{1}{6} + \frac{3}{6} = \frac{4}{6} = \frac{2}{3} \quad (\text{after simplifying}) \]

Final Answer:

• \( \frac{1}{2} + \frac{2}{6} = \frac{5}{6} \)
• \( \frac{1}{6} + \frac{1}{2} = \frac{2}{3} \)