Adding Fractions: 1/3 + 1/4 + 1/8
When working with fractions, adding them together can be a bit challenging. In this article, we will explore how to add three fractions together: 1/3, 1/4, and 1/8.
Step 1: Find the Least Common Multiple (LCM)
Before adding the fractions, we need to find the least common multiple (LCM) of the denominators: 3, 4, and 8. The LCM is the smallest number that all three denominators can divide into evenly.
The LCM of 3, 4, and 8 is 24.
Step 2: Convert the Fractions
Now, we need to convert each fraction to have a denominator of 24:
- 1/3 = 8/24
- 1/4 = 6/24
- 1/8 = 3/24
Step 3: Add the Fractions
Finally, we can add the fractions:
8/24 + 6/24 + 3/24 = 17/24
The Result
The result of adding 1/3, 1/4, and 1/8 is 17/24.
Conclusion Adding fractions can be a bit tricky, but by finding the least common multiple and converting the fractions to have the same denominator, we can easily add them together. In this case, we found that 1/3 + 1/4 + 1/8 equals 17/24.
