Subtracting Fractions: 1 1/4 - 1/2
This article will guide you through the steps of subtracting the fractions 1 1/4 - 1/2.
Understanding Mixed Numbers
Before we start, it's important to understand that 1 1/4 is a mixed number. It represents a whole number (1) plus a fraction (1/4).
Converting Mixed Numbers to Fractions
To subtract fractions, we need to have a common denominator. First, let's convert the mixed number 1 1/4 into an improper fraction.
- Multiply the whole number by the denominator: 1 x 4 = 4
- Add the numerator: 4 + 1 = 5
- Keep the same denominator: 5/4
Now, our problem looks like this: 5/4 - 1/2
Finding a Common Denominator
The fractions 5/4 and 1/2 have different denominators. To subtract them, we need to find a common denominator. The least common denominator for 4 and 2 is 4.
- Convert 1/2 to an equivalent fraction with a denominator of 4: Multiply both numerator and denominator by 2: (1 * 2) / (2 * 2) = 2/4
Subtracting the Fractions
Now we can subtract the fractions:
- 5/4 - 2/4
Since the denominators are the same, we simply subtract the numerators:
- (5 - 2) / 4 = 3/4
Answer
Therefore, 1 1/4 - 1/2 = 3/4.