Adding Fractions: 1/3 + 1/4 + 1/5
When working with fractions, adding them together can be a bit tricky. In this article, we will explore how to add the fractions 1/3, 1/4, and 1/5.
Step 1: Find the Least Common Multiple (LCM)
To add fractions with different denominators, we need to find the Least Common Multiple (LCM) of the denominators. In this case, the denominators are 3, 4, and 5. The LCM of these numbers is 60.
Step 2: Convert the Fractions to Have the LCM as the Denominator
Now, we need to convert each fraction to have 60 as the denominator.
- 1/3 = 20/60
- 1/4 = 15/60
- 1/5 = 12/60
Step 3: Add the Fractions
Now that we have all the fractions with the same denominator, we can add them together:
20/60 + 15/60 + 12/60 = 47/60
Result
The result of adding 1/3, 1/4, and 1/5 is 47/60.
Conclusion
Adding fractions with different denominators requires finding the Least Common Multiple (LCM) of the denominators and converting each fraction to have the LCM as the denominator. By doing so, we can add the fractions together to get the final result, which in this case is 47/60.
