https://file.aiquickdraw.com/mathbot/file/1725371892182j6vy5q7o.jpg

The image contains the expression \(\frac{1}{6} + \frac{1}{5}\).

To add these fractions, we need to find a common denominator. The denominators are 6 and 5, and their least common multiple (LCM) is 30.

Here’s how we add these fractions:

1. Convert each fraction to have the common denominator of 30:
   \[
   \frac{1}{6} = \frac{1 \times 5}{6 \times 5} = \frac{5}{30}
   \]
   \[
   \frac{1}{5} = \frac{1 \times 6}{5 \times 6} = \frac{6}{30}
   \]

2. Now, add the two fractions:
   \[
   \frac{5}{30} + \frac{6}{30} = \frac{5 + 6}{30} = \frac{11}{30}
   \]

Therefore, \(\frac{1}{6} + \frac{1}{5} = \frac{11}{30}\).

Would you like more details or have any questions about this solution? 

Here are some related questions you might find interesting:

1. How do you subtract fractions with different denominators?
2. What is the process for multiplying fractions?
3. How can you divide fractions and why does it work that way?
4. What is a mixed number, and how can you convert improper fractions to mixed numbers?
5. How do you simplify fractions, and why is it important?

**Tip:** Always find the least common multiple (LCM) when adding or subtracting fractions with different denominators.

Discover how to add the fractions 1/6 and 1/5 by finding the least common denominator (LCD) and solving step-by-step. This guide is perfect for students in Grades 4-6 learning to work with fractions.

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