To find out how much pie Sharla and Kim have together, we need to add the fractions they each have:
Sharla has \( \frac{1}{6} \) of an apple pie and Kim has \( \frac{1}{3} \) of an apple pie.
First, we need to find a common denominator to add these two fractions. The least common multiple (LCM) of 6 and 3 is 6.
Now we can convert \( \frac{1}{3} \) to sixths: \[ \frac{1}{3} = \frac{2}{6} \]
Now we can add the two fractions: \[ \frac{1}{6} + \frac{2}{6} = \frac{3}{6} \]
We can simplify \( \frac{3}{6} \) to \( \frac{1}{2} \).
Therefore, together, Sharla and Kim have \( \frac{1}{2} \) of an apple pie.
Answer options:
- \( \frac{1}{4} \)
- \( \frac{1}{2} \) - Correct Answer
- \( \frac{2}{3} \)
- \( \frac{5}{6} \)
- \( \frac{1}{6} \)
The correct answer is 2. \( \frac{1}{2} \).