Subtracting Fractions: 1/2 - 3/4
When working with fractions, subtracting one from another can be a bit tricky. In this article, we will guide you through the process of subtracting fractions, specifically finding the result of 1/2 minus 3/4.
Understanding the Problem
Before we dive into the solution, let's make sure we understand the problem. We are asked to find the result of subtracting 3/4 from 1/2. To do this, we need to follow the correct procedure for subtracting fractions.
Step-by-Step Procedure
Step 1: Find the Least Common Multiple (LCM)
To subtract fractions, we need to find the least common multiple (LCM) of the two denominators. In this case, the denominators are 2 and 4. The LCM of 2 and 4 is 4. This means we need to convert both fractions to have a denominator of 4.
Step 2: Convert the Fractions
To convert 1/2 to have a denominator of 4, we multiply both the numerator and the denominator by 2:
1/2 = 2/4
Next, we can see that 3/4 already has a denominator of 4, so no conversion is needed.
Step 3: Subtract the Fractions
Now that we have both fractions with the same denominator, we can subtract them:
2/4 - 3/4 = -1/4
The Result
The result of 1/2 minus 3/4 is -1/4.
Conclusion
In conclusion, subtracting fractions requires finding the least common multiple of the denominators, converting the fractions to have the same denominator, and then subtracting the numerators. By following these steps, we were able to find the result of 1/2 minus 3/4, which is -1/4.
