https://r2.erweima.ai/mathbot/image/1723467199612b3v461wv.jpg

The problem in the image is:

\[
3 \frac{1}{15} - 2 \frac{4}{15}
\]

To solve this, follow these steps:

1. **Convert the mixed numbers to improper fractions**:
   - \(3 \frac{1}{15} = \frac{3 \times 15 + 1}{15} = \frac{46}{15}\)
   - \(2 \frac{4}{15} = \frac{2 \times 15 + 4}{15} = \frac{34}{15}\)

2. **Subtract the fractions**:
   - \(\frac{46}{15} - \frac{34}{15} = \frac{46 - 34}{15} = \frac{12}{15}\)

3. **Simplify the fraction**:
   - The greatest common divisor (GCD) of 12 and 15 is 3, so divide both numerator and denominator by 3:
   - \(\frac{12 \div 3}{15 \div 3} = \frac{4}{5}\)

So, the solution to the problem is \(\frac{4}{5}\).

Would you like more details on any step, or do you have any questions?

Here are 8 related questions:

1. How do you find the greatest common divisor (GCD) of two numbers?
2. What is the process for converting mixed numbers to improper fractions?
3. How do you simplify fractions after subtraction?
4. What are the steps for subtracting mixed numbers with different denominators?
5. How can understanding the GCD help in simplifying fractions?
6. What happens if the numerators are negative when subtracting fractions?
7. How do you convert the simplified fraction back to a mixed number?
8. What techniques can you use to check your work in fraction subtraction?

**Tip:** Always simplify your final answer to its lowest terms to ensure clarity and correctness in your solution.

Learn how to solve the subtraction of fractions problem: 3 1/15 - 2 4/15. Follow a detailed step-by-step solution involving conversion of mixed numbers to improper fractions, subtraction of fractions, simplification, and understanding the greatest common divisor (GCD). Suitable for Grades 6-8.

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