Multiplying Mixed Numbers: A Step-by-Step Guide
Multiplying mixed numbers can seem daunting at first, but it's actually a straightforward process. Let's break down how to multiply 1 1/2 x 3 3/4.
1. Convert Mixed Numbers to Improper Fractions
- 1 1/2: Multiply the whole number (1) by the denominator (2), then add the numerator (1). Keep the same denominator. This gives us (1 x 2 + 1) / 2 = 3/2.
- 3 3/4: Multiply the whole number (3) by the denominator (4), then add the numerator (3). Keep the same denominator. This gives us (3 x 4 + 3) / 4 = 15/4.
2. Multiply the Fractions
Now we have: (3/2) x (15/4).
To multiply fractions, we simply multiply the numerators and the denominators.
- (3 x 15) / (2 x 4) = 45/8
3. Simplify to a Mixed Number
The improper fraction 45/8 can be converted back to a mixed number.
- Divide the numerator (45) by the denominator (8). The result is 5 with a remainder of 5.
- This means our answer is 5 5/8.
Conclusion
By following these simple steps, we have successfully multiplied 1 1/2 x 3 3/4 to get 5 5/8. Remember, converting mixed numbers to improper fractions makes the multiplication easier.