To solve \(4 \frac{1}{2} - \frac{1}{4}\), let's first convert \(4 \frac{1}{2}\) into an improper fraction.

1. Convert \(4 \frac{1}{2}\) into an improper fraction:
   \[
   4 \frac{1}{2} = \frac{9}{2}
   \]

2. Now, we have:
   \[
   \frac{9}{2} - \frac{1}{4}
   \]

3. To subtract these, find a common denominator. The least common multiple of 2 and 4 is 4.

   - Convert \(\frac{9}{2}\) to a fraction with a denominator of 4:
     \[
     \frac{9}{2} = \frac{18}{4}
     \]

4. Now, subtract the fractions:
   \[
   \frac{18}{4} - \frac{1}{4} = \frac{17}{4}
   \]

5. Convert \(\frac{17}{4}\) to a mixed number:
   \[
   \frac{17}{4} = 4 \frac{1}{4}
   \]

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

Would you like further details on any step?

Here are five related questions to explore further:

1. How would you add \(4 \frac{1}{2}\) and \(\frac{1}{4}\)?
2. What is \(4 \frac{1}{2} - \frac{3}{4}\)?
3. How can you multiply \(4 \frac{1}{2}\) and \(\frac{1}{4}\)?
4. What is \(4 \frac{1}{2} \div \frac{1}{4}\)?
5. How do you convert other mixed numbers to improper fractions?

**Tip:** When subtracting fractions, finding a common denominator makes calculations easier.

Learn how to subtract mixed numbers and fractions with a step-by-step guide for 4 1/2 - 1/4. This problem covers converting mixed numbers to improper fractions, finding a common denominator, and converting the result back to a mixed number. Ideal for students in Grades 4-6.

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