Multiplying Mixed Numbers: 1 1/2 x 3
Multiplying a mixed number by a whole number can seem tricky, but it's actually quite straightforward. Let's break down how to solve 1 1/2 x 3.
Step 1: Convert the mixed number to an improper fraction.
- Multiply the whole number by the denominator: 1 x 2 = 2
- Add the numerator: 2 + 1 = 3
- Keep the same denominator: 3/2
Now our problem is 3/2 x 3.
Step 2: Multiply the numerators and denominators.
- Numerator: 3 x 3 = 9
- Denominator: 2 x 1 = 2
This gives us 9/2.
Step 3: Convert the improper fraction back to a mixed number (optional).
- Divide the numerator by the denominator: 9 ÷ 2 = 4 with a remainder of 1
- The quotient is the whole number: 4
- The remainder is the numerator: 1
- Keep the same denominator: 2
So, 9/2 is equivalent to 4 1/2.
Conclusion
Therefore, 1 1/2 x 3 = 4 1/2