Multiplying Mixed Numbers: 1 1/2 x 1 1/4
This article will guide you through the process of multiplying mixed numbers, using the example of 1 1/2 x 1 1/4.
Step 1: Convert Mixed Numbers to Improper Fractions
First, we need to convert both mixed numbers into improper fractions. Here's how:
- 1 1/2: Multiply the whole number (1) by the denominator (2) and add the numerator (1). Keep the same denominator. This gives us (1 * 2 + 1) / 2 = 3/2.
- 1 1/4: Follow the same process: (1 * 4 + 1) / 4 = 5/4.
Step 2: Multiply the Fractions
Now we have the problem: 3/2 * 5/4. To multiply fractions, simply multiply the numerators and the denominators:
(3 * 5) / (2 * 4) = 15/8
Step 3: Simplify (if possible)
The fraction 15/8 is an improper fraction. We can convert it back to a mixed number:
- Divide the numerator (15) by the denominator (8). This gives us 1 with a remainder of 7.
- The quotient (1) becomes the whole number part of the mixed number.
- The remainder (7) becomes the numerator of the fraction, and the denominator stays the same (8).
Therefore, 15/8 is equal to 1 7/8.
Conclusion
We have successfully multiplied 1 1/2 by 1 1/4 and found the answer to be 1 7/8. This method can be used to multiply any two mixed numbers.