What is 1 1/4 to the Power of 2?
This article will guide you through calculating 1 1/4 to the power of 2, also known as 1 1/4 squared.
Understanding the Problem
1 1/4 to the power of 2 means multiplying 1 1/4 by itself. We can represent this mathematically as:
(1 1/4) ^ 2 = (1 1/4) * (1 1/4)
Converting Mixed Numbers to Fractions
Before we multiply, it's easier to work with improper fractions. Let's convert 1 1/4 to an improper fraction:
- Multiply the whole number (1) by the denominator (4): 1 * 4 = 4
- Add the numerator (1): 4 + 1 = 5
- Keep the denominator (4): 5/4
Now we have: (5/4) ^ 2 = (5/4) * (5/4)
Multiplying Fractions
To multiply fractions, we multiply the numerators and the denominators:
(5/4) * (5/4) = (5 * 5) / (4 * 4)
Simplifying the Result
Finally, we get:
(5 * 5) / (4 * 4) = 25/16
We can leave the answer as an improper fraction 25/16, or convert it back to a mixed number:
25/16 = 1 9/16
Conclusion
Therefore, 1 1/4 to the power of 2 is equal to 25/16 or 1 9/16.