To solve the expression \( 3.9 + \frac{1}{3} \), follow these steps:

1. Convert \( 3.9 \) to a fraction:  
   \( 3.9 = \frac{39}{10} \).

2. Now, add the fractions:  
   \[
   \frac{39}{10} + \frac{1}{3}
   \]

3. Find a common denominator for the fractions:  
   The least common denominator (LCD) of 10 and 3 is 30.

4. Convert the fractions to have the same denominator:  
   \[
   \frac{39}{10} = \frac{39 \times 3}{10 \times 3} = \frac{117}{30}
   \]  
   \[
   \frac{1}{3} = \frac{1 \times 10}{3 \times 10} = \frac{10}{30}
   \]

5. Add the fractions:  
   \[
   \frac{117}{30} + \frac{10}{30} = \frac{127}{30}
   \]

6. Convert \( \frac{127}{30} \) back to a decimal:  
   \[
   \frac{127}{30} \approx 4.2333\ldots
   \]

So, \( 3.9 + \frac{1}{3} \) is approximately \( 4.2333 \).

Would you like any further details or explanations?

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Here are some related questions:

1. How do you convert a repeating decimal to a fraction?
2. What is the process for finding the least common denominator of two fractions?
3. How can you simplify fractions before adding them?
4. What are other methods to approximate sums of fractions and decimals?
5. How would you solve \( 3.9 + \frac{1}{4} \) using a similar method?

**Tip:** When adding fractions, always look for the least common denominator to simplify calculations!

Explore how to add 3.9 and 1/3 step-by-step with detailed calculations and conversions between decimals and fractions. This problem covers arithmetic operations involving fractions and decimals, suitable for students in Grades 6-8.

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