Subtracting Fractions: 1 1/2 - 1/4
This article will guide you through the steps of subtracting 1/4 from 1 1/2, resulting in a simplified fraction.
Understanding Mixed Numbers
Firstly, let's understand what a mixed number is. A mixed number combines a whole number with a fraction, like 1 1/2.
Converting to Improper Fractions
Before subtracting fractions, it's helpful to convert mixed numbers to improper fractions. To do this:
- Multiply the whole number by the denominator of the fraction. In this case, 1 x 2 = 2.
- Add the numerator of the fraction. 2 + 1 = 3.
- Keep the same denominator. So, 1 1/2 is equivalent to 3/2.
Finding a Common Denominator
To subtract fractions, they must have the same denominator. Our fractions are currently 3/2 and 1/4.
- Find the least common multiple (LCM) of the denominators, 2 and 4. The LCM is 4.
- Convert each fraction to have a denominator of 4.
- 3/2 becomes 6/4 (multiply numerator and denominator by 2).
Performing the Subtraction
Now we can subtract the fractions:
6/4 - 1/4 = 5/4
Simplifying the Result
The fraction 5/4 is an improper fraction. To convert it back to a mixed number:
- Divide the numerator (5) by the denominator (4). 5 ÷ 4 = 1 with a remainder of 1.
- The whole number is the result of the division (1).
- The remainder becomes the numerator (1), and the denominator remains the same (4).
Therefore, 5/4 is equal to 1 1/4.
Final Answer
1 1/2 - 1/4 = 1 1/4