Fraction Operations: Simplifying 5 1/4 - 1 1/2
In this article, we will explore the operation of subtracting mixed numbers, specifically simplifying 5 1/4 - 1 1/2.
Understanding Mixed Numbers
Before we dive into the operation, let's take a quick look at what mixed numbers are. A mixed number is a combination of a whole number and a fraction. For example, 5 1/4 is a mixed number, where 5 is the whole number and 1/4 is the fraction.
Simplifying 5 1/4 - 1 1/2
To simplify this expression, we need to follow the order of operations (PEMDAS):
- Convert both mixed numbers to improper fractions.
- Subtract the fractions.
- Simplify the result.
Step 1: Convert to Improper Fractions
5 1/4 = 21/4 (multiply the whole number 5 by the denominator 4, then add the numerator 1)
1 1/2 = 3/2 (multiply the whole number 1 by the denominator 2, then add the numerator 1)
Step 2: Subtract the Fractions
21/4 - 3/2
To subtract these fractions, we need to find a common denominator, which is 4. We can convert 3/2 to 6/4 by multiplying both the numerator and denominator by 2.
21/4 - 6/4 = 15/4
Step 3: Simplify the Result
The resulting fraction is already in its simplest form, so we don't need to simplify it further.
The Final Answer
Therefore, the result of simplifying 5 1/4 - 1 1/2 is 15/4 or 3 3/4 in mixed number form.
By following these steps, we can simplify complex expressions involving mixed numbers and fractions.
