Multiplying Mixed Numbers: 1 1/2 x 3 1/2
Let's break down how to multiply mixed numbers and get the answer as a mixed number.
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:
- (3/2) * (7/2) = 21/4
3. Convert the Improper Fraction to a Mixed Number:
- Divide the numerator (21) by the denominator (4): 21 ÷ 4 = 5 with a remainder of 1.
- The whole number part of the mixed number is 5.
- The numerator of the fractional part is the remainder (1).
- The denominator stays the same (4).
Therefore, 1 1/2 times 3 1/2 is 5 1/4.