Multiplying Mixed Numbers: 1 1/2 x 3 1/2
Multiplying mixed numbers can seem tricky, but it's actually quite straightforward. Here's how to multiply 1 1/2 by 3 1/2:
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.
- 3 1/2: Multiply the whole number (3) by the denominator (2) and add the numerator (1): 3 * 2 + 1 = 7. Keep the same denominator: 7/2.
2. Multiply the Fractions:
- Now you have (3/2) * (7/2)
- Multiply the numerators: 3 * 7 = 21
- Multiply the denominators: 2 * 2 = 4
3. Simplify the Result:
- You have 21/4.
- This is an improper fraction, so convert it back to a mixed number: 21 ÷ 4 = 5 with a remainder of 1.
- The answer is 5 1/4.
Therefore, 1 1/2 x 3 1/2 = 5 1/4.