Subtracting Fractions: 1 1/4 - 1/2
This article will guide you through the steps of subtracting the fraction 1/2 from the mixed number 1 1/4.
Understanding Mixed Numbers
A mixed number combines a whole number and a fraction. In our case, 1 1/4 represents one whole unit plus one quarter of another unit.
Finding a Common Denominator
Before we can subtract fractions, they must have the same denominator. The least common denominator for 4 and 2 is 4.
- 1/2: Multiply both the numerator and denominator by 2: (1 x 2) / (2 x 2) = 2/4
Subtracting the Fractions
Now we can rewrite our problem:
1 1/4 - 1/2 becomes 1 1/4 - 2/4
- Subtract the numerators: 1 - 2 = -1
- Keep the denominator: -1/4
Simplifying the Result
We have a negative numerator, indicating that we are subtracting more than we have. Let's adjust the whole number part.
- Borrow one from the whole number: 1 - 1 = 0
- Add the borrowed whole number as a fraction: 0 + 4/4 = 4/4
- Combine the fractions: 4/4 - 1/4 = 3/4
Conclusion
Therefore, 1 1/4 - 1/2 is equal to 3/4.