To add \( 3.9 + \frac{1}{3} \):

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

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

3. Find the least common denominator (LCD) of 10 and 3, which is 30.

4. Convert both fractions to have a common 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 \( \frac{127}{30} \) to a decimal:  
   \( \frac{127}{30} \approx 4.2333\ldots \).

So, \( 3.9 + \frac{1}{3} \approx 4.2333\ldots \) or \( \frac{127}{30} \) in fraction form.

Would you like further details or have any questions?

Here are some related questions:
1. How do you convert a decimal to a fraction?
2. How do you add fractions with different denominators?
3. What is the process for finding the least common denominator?
4. How do you simplify fractions?
5. How do you convert a repeating decimal to a fraction?

**Tip:** When adding fractions, always find a common denominator to combine them efficiently.

Learn how to add the decimal 3.9 and the fraction 1/3. This detailed step-by-step solution covers converting decimals to fractions, finding the least common denominator, and adding fractions. Suitable for Grades 6-8.

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