Multiplying Mixed Numbers: 1 1/2 x 3/2
Multiplying mixed numbers can seem tricky, but it's actually quite straightforward. Let's break down how to solve 1 1/2 x 3/2.
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), keeping the same denominator: (1 * 2) + 1 = 3/2
Step 2: Multiply the Fractions
- Now we have 3/2 x 3/2.
- To multiply fractions, we multiply the numerators and the denominators: (3 x 3) / (2 x 2) = 9/4
Step 3: Simplify to a Mixed Number (Optional)
- The fraction 9/4 is an improper fraction because the numerator is larger than the denominator.
- To convert it to a mixed number, divide the numerator (9) by the denominator (4): 9 ÷ 4 = 2 with a remainder of 1.
- The quotient (2) becomes the whole number part of the mixed number, and the remainder (1) becomes the numerator, keeping the same denominator: 2 1/4
Conclusion
Therefore, 1 1/2 x 3/2 = 9/4 or 2 1/4.