To subtract the mixed numbers \(2 \frac{1}{4}\) and \(1 \frac{1}{2}\), follow these steps:

1. Convert the mixed numbers to improper fractions:
   - \(2 \frac{1}{4} = \frac{9}{4}\) (since \(2 \times 4 + 1 = 9\))
   - \(1 \frac{1}{2} = \frac{3}{2}\) (since \(1 \times 2 + 1 = 3\))

2. Find a common denominator. The least common multiple of 4 and 2 is 4.

3. Convert \( \frac{3}{2} \) to a fraction with a denominator of 4:
   - \( \frac{3}{2} = \frac{3 \times 2}{2 \times 2} = \frac{6}{4}\)

4. Now perform the subtraction:
   \[
   \frac{9}{4} - \frac{6}{4} = \frac{3}{4}
   \]

So, \(2 \frac{1}{4} - 1 \frac{1}{2} = \frac{3}{4}\).

Would you like more details on any part of this process? Here are some related questions you might consider:

1. How do you convert a mixed number to an improper fraction?
2. What are some common denominators for different fractions?
3. Can you explain how to subtract fractions with different denominators?
4. How would you add these mixed numbers instead?
5. What is the process for converting improper fractions back to mixed numbers?

**Tip:** Always find a common denominator before subtracting or adding fractions to simplify the process.

Discover how to subtract the mixed numbers 2 ¼ and 1 ½ with a clear step-by-step process. Learn to convert mixed numbers to improper fractions, find a common denominator, and perform the subtraction. Suitable for students in Grades 4-6.

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