To solve \( 4 \frac{3}{4} - 2 \frac{1}{4} \), we will follow these steps:

### Step 1: Convert mixed numbers to improper fractions.

\[
4 \frac{3}{4} = \frac{19}{4} \quad \text{and} \quad 2 \frac{1}{4} = \frac{9}{4}
\]

### Step 2: Subtract the improper fractions.

Since both fractions have the same denominator, we can subtract the numerators directly:

\[
\frac{19}{4} - \frac{9}{4} = \frac{19 - 9}{4} = \frac{10}{4}
\]

### Step 3: Simplify the result.

\[
\frac{10}{4} = \frac{5}{2} = 2 \frac{1}{2}
\]

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

Would you like more details on this solution?

Here are 5 related questions to explore:

1. How do you add two mixed numbers, like \( 3 \frac{2}{5} + 1 \frac{4}{5} \)?
2. What is the process for multiplying mixed numbers, such as \( 2 \frac{1}{3} \times 1 \frac{1}{2} \)?
3. How do you subtract fractions with different denominators, like \( \frac{5}{6} - \frac{2}{3} \)?
4. Can you convert a decimal like 2.75 into a mixed number?
5. How do you divide mixed numbers, for instance, \( 3 \frac{1}{4} \div 2 \frac{2}{3} \)?

**Tip:** Always ensure to simplify fractions in your final answer for better accuracy and clarity!

Learn how to subtract mixed numbers, such as 4 3/4 - 2 1/4, by converting them to improper fractions and simplifying. This step-by-step guide breaks down the process for students in Grades 5-6.

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