Understanding 1 1/4 to the Power of 2
This article will guide you through understanding the process of calculating 1 1/4 to the power of 2 (written as (1 1/4)²) and expressing the result as a fraction.
Converting to an Improper Fraction
The first step is to convert the mixed number 1 1/4 into an improper fraction.
- Multiply the whole number (1) by the denominator (4): 1 * 4 = 4
- Add the numerator (1): 4 + 1 = 5
- Keep the same denominator: 5/4
Now we have 1 1/4 represented as 5/4.
Squaring the Fraction
To square a fraction, we simply square both the numerator and the denominator.
- (5/4)² = (5²)/(4²) = 25/16
Final Answer
Therefore, 1 1/4 to the power of 2 is equal to 25/16. This fraction can also be expressed as a mixed number: 1 9/16.