To solve \( 24 \frac{1}{4} - 7 \frac{2}{3} \), we'll follow these steps:

1. **Convert the mixed numbers to improper fractions**:

   - For \( 24 \frac{1}{4} \):
     \[
     24 \frac{1}{4} = \frac{24 \times 4 + 1}{4} = \frac{96 + 1}{4} = \frac{97}{4}
     \]

   - For \( 7 \frac{2}{3} \):
     \[
     7 \frac{2}{3} = \frac{7 \times 3 + 2}{3} = \frac{21 + 2}{3} = \frac{23}{3}
     \]

2. **Find a common denominator**:

   - The denominators are 4 and 3. The least common multiple of 4 and 3 is 12.

3. **Convert the fractions to have the common denominator of 12**:

   - For \( \frac{97}{4} \):
     \[
     \frac{97}{4} = \frac{97 \times 3}{4 \times 3} = \frac{291}{12}
     \]

   - For \( \frac{23}{3} \):
     \[
     \frac{23}{3} = \frac{23 \times 4}{3 \times 4} = \frac{92}{12}
     \]

4. **Subtract the fractions**:

   \[
   \frac{291}{12} - \frac{92}{12} = \frac{291 - 92}{12} = \frac{199}{12}
   \]

5. **Simplify the fraction if needed and convert back to a mixed number**:

   - Dividing \( 199 \) by \( 12 \):
     \[
     199 \div 12 = 16 \text{ remainder } 7
     \]
   
   - So, the mixed number is:
     \[
     16 \frac{7}{12}
     \]

Therefore, \( 24 \frac{1}{4} - 7 \frac{2}{3} = 16 \frac{7}{12} \).

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. How do you add mixed numbers?
2. What is the process for multiplying mixed numbers?
3. How do you subtract mixed numbers with different denominators?
4. How do you convert improper fractions to mixed numbers?
5. How can you simplify complex fractions?

**Tip:** Always convert mixed numbers to improper fractions when performing operations like addition or subtraction for easier calculations!

Learn how to subtract mixed numbers with fractions: 24 1/4 - 7 2/3. Follow a step-by-step solution converting mixed numbers to improper fractions, finding a common denominator, subtracting fractions, and simplifying the result. Suitable for students in Grades 5-7.

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