Adding Fractions: 1/2 + 1/4 + 3/4
In this article, we will learn how to add fractions 1/2, 1/4, and 3/4. Adding fractions can be a bit tricky, but with the right steps, it can be a breeze.
Step 1: Check the Denominators
The first step in adding fractions is to check the denominators. The denominators are the numbers at the bottom of the fractions. In this case, the denominators are 2, 4, and 4.
Step 2: Find the Least Common Multiple (LCM)
Since the denominators are different, we need to find the Least Common Multiple (LCM) of 2, 4, and 4. The LCM is the smallest number that all the denominators can divide into evenly. In this case, the LCM is 4.
Step 3: Convert the Fractions
Now, we need to convert all the fractions to have a denominator of 4:
- 1/2 = 2/4
- 1/4 = 1/4 (no change)
- 3/4 = 3/4 (no change)
Step 4: Add the Fractions
Now that all the fractions have the same denominator, we can add them:
2/4 + 1/4 + 3/4 = 6/4
Step 5: Simplify the Fraction
The final step is to simplify the fraction:
6/4 = 3/2
And that's the answer! The result of adding 1/2, 1/4, and 3/4 is 3/2.
Conclusion
Adding fractions can be a bit tricky, but by following the steps above, you can easily add fractions with different denominators. Remember to always check the denominators, find the LCM, convert the fractions, add them, and simplify the result.
