https://file.aiquickdraw.com/mathbot/file/17282795971756yxxrmqk.jpg

The expression given in the image is:

\[
\frac{3}{6} + \frac{1}{12} = \frac{A}{12} + \frac{B}{12} = C
\]

### Step-by-Step Solution:

1. **Simplify the fractions**:
   \[
   \frac{3}{6} = \frac{1}{2}
   \]

2. **Convert \(\frac{1}{2}\) to have a denominator of 12**:
   Multiply both the numerator and denominator of \(\frac{1}{2}\) by 6 to get a common denominator:
   \[
   \frac{1}{2} = \frac{6}{12}
   \]

3. **Add the two fractions**:
   Now that both fractions have the same denominator (12), we can add them directly:
   \[
   \frac{6}{12} + \frac{1}{12} = \frac{6+1}{12} = \frac{7}{12}
   \]

Thus, the final result is:

\[
\frac{3}{6} + \frac{1}{12} = \frac{7}{12}
\]

Would you like any further details or explanations? Here are some additional questions related to this:

1. How do you find a common denominator when adding fractions?
2. Can you explain why multiplying by 6 was necessary in this example?
3. What would happen if the denominators were not easily converted?
4. Can this method be applied to subtracting fractions as well?
5. How would you apply this to fractions with variables in the numerator?

**Tip:** When adding fractions, always look for the least common denominator to make calculations simpler.

Simplify and add the fractions: 3/6 + 1/12.

Learn how to add fractions with different denominators by simplifying 3/6 + 1/12. This step-by-step solution shows how to find a common denominator and simplify the result to get 7/12. Suitable for students in Grades 4-6.

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