Calculating 1 1/4 times 4 1/2
This article will guide you through the process of multiplying mixed numbers, specifically focusing on the calculation of 1 1/4 times 4 1/2.
Step 1: Convert mixed numbers to improper fractions
- 1 1/4 is equivalent to (1 * 4 + 1) / 4 = 5/4
- 4 1/2 is equivalent to (4 * 2 + 1) / 2 = 9/2
Step 2: Multiply the fractions
Now that we have improper fractions, we simply multiply them:
(5/4) * (9/2) = (5 * 9) / (4 * 2) = 45/8
Step 3: Simplify the result (optional)
The fraction 45/8 can be converted back into a mixed number:
- 45 divided by 8 equals 5 with a remainder of 5.
- Therefore, 45/8 is equivalent to 5 5/8.
Conclusion
The result of 1 1/4 times 4 1/2 is 45/8 or 5 5/8. Remember to always convert mixed numbers to improper fractions before multiplying. This approach makes the calculation much easier and avoids potential errors.