To multiply $1 \frac{1}{2} \times 2 \frac{1}{4}$, follow these steps:

Step 1: Convert the mixed numbers into improper fractions.

1. $1 \frac{1}{2} = \frac{3}{2}$
2. $2 \frac{1}{4} = \frac{9}{4}$

Step 2: Multiply the improper fractions.

$\frac{3}{2} \times \frac{9}{4} = \frac{27}{8}$

Step 3: Convert the result back into a mixed number.

Divide 27 by 8:

• $27 \div 8 = 3$ remainder $3$.

Thus: $\frac{27}{8} = 3 \frac{3}{8}$

Final Answer:

$1 \frac{1}{2} \times 2 \frac{1}{4} = 3 \frac{3}{8}$

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Would you like a step-by-step breakdown of any part?

Related Questions:

1. How do you multiply two mixed numbers in general?
2. Can you explain improper fractions in more detail?
3. How can you simplify fractions after multiplying?
4. What is the difference between improper fractions and mixed numbers?
5. How can you convert a decimal to a fraction?

Tip: Always simplify fractions during calculations if possible, to make operations easier!