11 1/2 Simplified: Understanding the Fraction
Fractions can be intimidating, especially when you're working with mixed numbers. But fear not! In this article, we'll break down the fraction 11 1/2 and simplify it so you can confidently work with it.
What does 11 1/2 mean?
Before we simplify the fraction, let's understand what it represents. 11 1/2 is a mixed number, which is a combination of a whole number and a fraction. In this case, the whole number is 11, and the fraction is 1/2.
Converting to an Improper Fraction
To simplify the fraction, we need to convert it to an improper fraction. An improper fraction is a fraction where the numerator (the top number) is greater than the denominator (the bottom number). To do this, we'll multiply the whole number by the denominator and then add the numerator.
Step 1: Multiply the whole number by the denominator
11 (whole number) × 2 (denominator) = 22
Step 2: Add the numerator
22 + 1 (numerator) = 23
The Improper Fraction
So, our improper fraction is 23/2.
Simplifying the Fraction
Now that we have an improper fraction, we can simplify it by dividing both the numerator and the denominator by their greatest common divisor (GCD).
Finding the GCD
The GCD of 23 and 2 is 1, since they don't have any common factors.
Simplifying the Fraction
Since the GCD is 1, we can't simplify the fraction further. Therefore, the simplified fraction is still 23/2.
Conclusion
In conclusion, the simplified fraction of 11 1/2 is 23/2. By converting the mixed number to an improper fraction and simplifying it, we've made it easier to work with. Remember, simplifying fractions is all about finding the GCD and dividing both numbers by it. With practice, you'll become a pro at simplifying fractions in no time!
