https://file.aiquickdraw.com/mathbot/file/1729738772476rp469rkb.jpg

The expression shown in the image is:

\[
\frac{1}{2} + \frac{1}{3} + \frac{5}{6}
\]

### Step-by-step solution:

1. **Find the Least Common Denominator (LCD)**: 
   The denominators are 2, 3, and 6. The least common denominator of these numbers is 6.

2. **Convert fractions to have the same denominator**:
   - \(\frac{1}{2} = \frac{3}{6}\) 
   - \(\frac{1}{3} = \frac{2}{6}\)
   - \(\frac{5}{6}\) remains as \(\frac{5}{6}\)

3. **Add the fractions**:
   \[
   \frac{3}{6} + \frac{2}{6} + \frac{5}{6} = \frac{3 + 2 + 5}{6} = \frac{10}{6}
   \]

4. **Simplify the fraction**:
   \[
   \frac{10}{6} = \frac{5}{3}
   \]

Thus, the result is:

\[
\frac{5}{3} \text{ or } 1 \frac{2}{3}
\]

Would you like further details or have any questions about this process?

Here are 5 related questions:
1. How do you find the least common denominator (LCD) of two or more fractions?
2. Why is it important to convert fractions to have a common denominator before adding them?
3. Can you add fractions with different denominators without using the LCD? Why or why not?
4. How do you convert an improper fraction like \(\frac{5}{3}\) into a mixed number?
5. What is the process of simplifying fractions, and why is it necessary?

**Tip**: Always check if the fraction can be simplified after adding or subtracting!

Learn how to add fractions with different denominators by finding the least common denominator (LCD). The step-by-step solution simplifies the expression 1/2 + 1/3 + 5/6, showing how to convert fractions and get the final result of 5/3 or 1 2/3. Suitable for students in Grades 5-7.

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