## Multiplying Mixed Numbers: 1 1/2 x 2 1/2

Multiplying mixed numbers can seem daunting, but it's actually quite simple once you break it down. Here's how to multiply 1 1/2 by 2 1/2 and express the answer as a fraction:

### Step 1: Convert Mixed Numbers to Improper Fractions

**1 1/2:**Multiply the whole number (1) by the denominator (2) and add the numerator (1): (1 * 2) + 1 = 3. Keep the same denominator: 3/2**2 1/2:**Multiply the whole number (2) by the denominator (2) and add the numerator (1): (2 * 2) + 1 = 5. Keep the same denominator: 5/2

### Step 2: Multiply the Fractions

Now that we have improper fractions, we can multiply them directly:

(3/2) * (5/2) = (3 * 5) / (2 * 2) = 15/4

### Step 3: Simplify to a Mixed Number (Optional)

The fraction 15/4 is an improper fraction (numerator is larger than the denominator). We can simplify it to a mixed number:

**Divide the numerator (15) by the denominator (4):**15 / 4 = 3 with a remainder of 3.**The quotient (3) becomes the whole number part of the mixed number.****The remainder (3) becomes the numerator of the fraction part.****The denominator remains the same.**

Therefore, 15/4 is equal to **3 3/4**.

### In Conclusion

1 1/2 multiplied by 2 1/2 is equal to **15/4** or **3 3/4**. By converting the mixed numbers into improper fractions, multiplying, and simplifying the result, we can confidently calculate the answer.