Multiplying Mixed Numbers: 1 1/2 x 4 1/2
Multiplying mixed numbers can seem tricky, but it's actually quite simple once you break it down. Let's take a look at how to solve 1 1/2 x 4 1/2:
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). This gives us 3. Keep the same denominator (2). So, 1 1/2 becomes 3/2.
- 4 1/2: Multiply the whole number (4) by the denominator (2) and add the numerator (1). This gives us 9. Keep the same denominator (2). So, 4 1/2 becomes 9/2.
Now our problem is: 3/2 x 9/2
Step 2: Multiply the Numerators and Denominators
- Multiply the numerators: 3 x 9 = 27
- Multiply the denominators: 2 x 2 = 4
This gives us 27/4
Step 3: Simplify the Result (If Possible)
The fraction 27/4 can be simplified to a mixed number.
- Divide the numerator (27) by the denominator (4). 27 divided by 4 is 6 with a remainder of 3.
- The whole number part of our mixed number is 6.
- The remainder (3) becomes the numerator of our fraction, and the denominator stays the same (4).
Therefore, 27/4 is equal to 6 3/4.
Conclusion
So, 1 1/2 x 4 1/2 = 6 3/4. Remember to convert your mixed numbers to improper fractions before multiplying, and then simplify your answer if necessary.