Multiplying Mixed Numbers: 1 1/2 x 1 1/2
Multiplying mixed numbers can seem daunting, but it's actually a straightforward process. Here's how to multiply 1 1/2 by 1 1/2:
Step 1: Convert to Improper Fractions
First, we need to convert our mixed numbers into improper fractions. To do this, we multiply the whole number by the denominator of the fraction and then add the numerator. The denominator remains the same.
- 1 1/2 = (1 * 2 + 1) / 2 = 3/2
- 1 1/2 = (1 * 2 + 1) / 2 = 3/2
Step 2: Multiply the Numerators and Denominators
Now that we have our improper fractions, we can multiply them like any other fractions:
- (3/2) * (3/2) = (3 * 3) / (2 * 2)
Step 3: Simplify the Result
Simplifying the multiplication gives us our final answer:
- (3 * 3) / (2 * 2) = 9/4
Step 4: Convert Back to a Mixed Number (Optional)
The answer as an improper fraction is 9/4. If you want to express it as a mixed number, divide the numerator by the denominator:
- 9 ÷ 4 = 2 with a remainder of 1
Therefore, 9/4 as a mixed number is 2 1/4.
Summary
In conclusion, 1 1/2 multiplied by 1 1/2 equals 9/4, which can also be expressed as the mixed number 2 1/4.