Multiplying Mixed Numbers: A Step-by-Step Guide
Multiplying mixed numbers can seem intimidating, but it's actually quite simple once you break it down. Let's take the example of 1 1/4 * 1 1/2 and walk through the steps together.
Step 1: Convert Mixed Numbers to Fractions
The first step is to convert both mixed numbers into improper fractions.
- 1 1/4 becomes (1 * 4 + 1)/4 = 5/4
- 1 1/2 becomes (1 * 2 + 1)/2 = 3/2
Step 2: Multiply the Fractions
Now we simply multiply the two improper fractions:
(5/4) * (3/2) = (5 * 3) / (4 * 2) = 15/8
Step 3: Simplify to a Mixed Number (Optional)
The answer is currently an improper fraction. If you prefer to express it as a mixed number, we need to simplify:
- 15/8 can be divided into 1 whole number and 7/8 remaining.
Therefore, 1 1/4 * 1 1/2 = 1 7/8.
Key Takeaways
- Converting to improper fractions: This is the crucial first step, making the multiplication easier.
- Multiplying numerators and denominators: Remember to multiply the numerators and denominators of the fractions.
- Simplifying to a mixed number: This is optional but often makes the answer more understandable.
By following these simple steps, you can confidently multiply any mixed numbers!