To solve the expression \(8 \frac{1}{3} - 2 \frac{1}{2}\), we first convert the mixed numbers to improper fractions:

1. **Convert \(8 \frac{1}{3}\) to an improper fraction**:
   \[
   8 \frac{1}{3} = \frac{8 \times 3 + 1}{3} = \frac{24 + 1}{3} = \frac{25}{3}
   \]

2. **Convert \(2 \frac{1}{2}\) to an improper fraction**:
   \[
   2 \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{4 + 1}{2} = \frac{5}{2}
   \]

3. **Subtract the two improper fractions**:
   \[
   \frac{25}{3} - \frac{5}{2}
   \]
   To subtract these fractions, find a common denominator. The least common denominator (LCD) of 3 and 2 is 6.

   \[
   \frac{25}{3} = \frac{25 \times 2}{3 \times 2} = \frac{50}{6}
   \]
   \[
   \frac{5}{2} = \frac{5 \times 3}{2 \times 3} = \frac{15}{6}
   \]

   Now, subtract the fractions:
   \[
   \frac{50}{6} - \frac{15}{6} = \frac{50 - 15}{6} = \frac{35}{6}
   \]

4. **Convert the improper fraction back to a mixed number**:
   \[
   \frac{35}{6} = 5 \frac{5}{6}
   \]

Thus, the result of \(8 \frac{1}{3} - 2 \frac{1}{2}\) is \(5 \frac{5}{6}\).

Would you like more details or have any questions about the steps?

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Here are five related questions:

1. How would you add \(8 \frac{1}{3}\) and \(2 \frac{1}{2}\)?
2. What is the result of multiplying \(8 \frac{1}{3}\) by \(2 \frac{1}{2}\)?
3. How can you subtract two fractions with different denominators without finding the LCD first?
4. What is the improper fraction representation of \(5 \frac{5}{6}\)?
5. How do you convert a fraction to a decimal?

**Tip:** When subtracting mixed numbers, always convert them to improper fractions first to simplify the operation.

Learn how to subtract mixed numbers like 8 1/3 and 2 1/2 by converting them into improper fractions and using the Least Common Denominator (LCD). This detailed guide is ideal for students in Grades 5-7 and covers key concepts such as improper fractions and subtraction of fractions with different denominators.

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