Finding the Product of 1 1/4 and 1/2
This article will guide you through the process of multiplying the mixed number 1 1/4 by the fraction 1/2.
Understanding Mixed Numbers
First, let's understand what a mixed number represents. A mixed number like 1 1/4 combines a whole number (1) with a proper fraction (1/4). To perform multiplication, it's often helpful to convert mixed numbers into improper fractions.
Converting Mixed Numbers to Improper Fractions
To convert 1 1/4 to an improper fraction, follow these steps:
- Multiply the whole number by the denominator of the fraction: 1 * 4 = 4
- Add the numerator of the fraction: 4 + 1 = 5
- Keep the same denominator: 5/4
Therefore, 1 1/4 is equivalent to 5/4.
Multiplying Fractions
Now that we have both numbers as fractions, we can proceed with the multiplication.
- Multiply the numerators: 5 * 1 = 5
- Multiply the denominators: 4 * 2 = 8
This gives us the result 5/8.
Simplifying the Result
The fraction 5/8 is already in its simplest form as the numerator and denominator have no common factors other than 1.
Conclusion
Therefore, the product of 1 1/4 and 1/2 is 5/8.