To express \(10 \frac{1}{4} - 4 \frac{1}{2}\) as a decimal, let's break it down into steps:

1. **Convert the mixed numbers to improper fractions:**
   - \(10 \frac{1}{4} = \frac{10 \times 4 + 1}{4} = \frac{40 + 1}{4} = \frac{41}{4}\)
   - \(4 \frac{1}{2} = \frac{4 \times 2 + 1}{2} = \frac{8 + 1}{2} = \frac{9}{2}\)

2. **Subtract the fractions:**
   To subtract \(\frac{41}{4} - \frac{9}{2}\), we need a common denominator. The least common denominator (LCD) between 4 and 2 is 4.

   \[
   \frac{9}{2} = \frac{9 \times 2}{2 \times 2} = \frac{18}{4}
   \]

   Now subtract:
   \[
   \frac{41}{4} - \frac{18}{4} = \frac{41 - 18}{4} = \frac{23}{4}
   \]

3. **Convert the result to a decimal:**
   \[
   \frac{23}{4} = 23 \div 4 = 5.75
   \]

So, \(10 \frac{1}{4} - 4 \frac{1}{2} = 5.75\) as a decimal.

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

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Here are 8 related questions to explore further:
1. How do you convert improper fractions to mixed numbers?
2. How would you solve \(5 \frac{3}{8} + 2 \frac{1}{4}\) as a decimal?
3. What is the decimal representation of \(\frac{7}{8}\)?
4. How do you find the least common denominator (LCD) of two fractions?
5. What is the difference between a mixed number and an improper fraction?
6. How do you multiply mixed numbers?
7. How do you convert a repeating decimal into a fraction?
8. How do you simplify fractions?

**Tip:** When converting mixed numbers to decimals, always convert them to improper fractions first.

Learn how to convert the mixed numbers 10 1/4 and 4 1/2 to a decimal with detailed step-by-step instructions. This problem involves fractions, mixed numbers, subtraction of fractions, and decimal conversion. Suitable for students in Grades 5-6.

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