Subtracting Fractions: 1 1/4 - 1/2
This article will guide you through the process of subtracting the fractions 1 1/4 and 1/2.
Understanding Mixed Numbers
First, let's understand what a mixed number is. A mixed number combines a whole number and a fraction. In our case, 1 1/4 represents one whole unit plus one-quarter.
Finding a Common Denominator
Before we can subtract fractions, they need to have the same denominator. The least common denominator (LCD) for 4 and 2 is 4.
- 1 1/4 remains the same as the denominator is already 4.
- 1/2 is multiplied by 2/2 to get 2/4.
Performing the Subtraction
Now we have:
- 1 1/4 - 2/4
Since we're dealing with a mixed number, we'll subtract the fractions first.
- 1/4 - 2/4 = -1/4
Since the result is a negative fraction, we need to borrow from the whole number part.
- 1 - 1/4 = 3/4
Therefore, 1 1/4 - 1/2 = 3/4.