The sum of \( 3.9 + \frac{1}{3} \) can be calculated as follows:

First, express 3.9 as a fraction:

\[
3.9 = \frac{39}{10}
\]

Now, add \( \frac{1}{3} \) to \( \frac{39}{10} \). To do this, find a common denominator, which would be 30:

\[
\frac{39}{10} = \frac{117}{30}
\quad \text{and} \quad
\frac{1}{3} = \frac{10}{30}
\]

Now add the fractions:

\[
\frac{117}{30} + \frac{10}{30} = \frac{127}{30}
\]

Thus, the sum is \( \frac{127}{30} \), which can be converted to a decimal:

\[
\frac{127}{30} \approx 4.2333
\]

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

Would you like more details or explanations?

Here are 5 related questions:
1. How can you convert a repeating decimal like \( \frac{1}{3} \) to a fraction?
2. How do you add fractions with different denominators?
3. What are common denominators and why are they useful?
4. How do you convert a decimal into a fraction?
5. What is the process to simplify fractions?

**Tip:** When adding fractions, always ensure to have a common denominator for easy computation!

Learn how to add the decimal 3.9 and the fraction 1/3 by converting to common denominators and expressing the result as a fraction and a decimal. This problem covers key concepts such as fractions, common denominators, and decimal addition, suitable for students in Grades 6-8.

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