https://file.aiquickdraw.com/mathbot/file/1725935232160huzcd44n.jpg

The expression in the image appears to be:

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

Let's break this down step by step:

1. **Multiply \( 3 \times \frac{2}{5} \):**

\[
3 \times \frac{2}{5} = \frac{6}{5}
\]

2. **Convert the mixed fraction \( 2 \frac{1}{3} \) to an improper fraction:**

\[
2 \frac{1}{3} = \frac{7}{3}
\]

3. **Substitute into the expression:**

\[
\frac{6}{5} - \frac{7}{3} + 6
\]

4. **Find a common denominator for \( \frac{6}{5} \) and \( \frac{7}{3} \):**
   - The least common denominator (LCD) between 5 and 3 is 15.
   - Convert both fractions:
   
\[
\frac{6}{5} = \frac{18}{15}, \quad \frac{7}{3} = \frac{35}{15}
\]

5. **Perform the subtraction:**

\[
\frac{18}{15} - \frac{35}{15} = \frac{-17}{15}
\]

6. **Add 6 (which can be written as \( \frac{90}{15} \)) to \( \frac{-17}{15} \):**

\[
\frac{-17}{15} + \frac{90}{15} = \frac{73}{15}
\]

Thus, the final answer is:

\[
\frac{73}{15}
\]

Would you like further details or have any questions?

### Related Questions:
1. How do you multiply fractions with whole numbers?
2. What are the steps to convert mixed fractions into improper fractions?
3. How do you add or subtract fractions with different denominators?
4. How can improper fractions be converted back to mixed numbers?
5. What is the significance of least common denominators in fraction operations?

### Tip:
Always convert mixed numbers to improper fractions before performing operations like addition or subtraction for better clarity and accuracy.

Learn how to solve the expression 3 * (2/5) - 2(1/3) + 6 with a step-by-step solution. This math problem includes operations with fractions, converting mixed numbers to improper fractions, and combining fractions with different denominators. Suitable for students in Grades 6-8.

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