Addition of Fractions: 1/2 + 1/3 + 1/6
In this article, we will explore the process of adding fractions with different denominators. Specifically, we will calculate the sum of 1/2, 1/3, and 1/6.
Understanding the Problem
The problem at hand is to find the sum of the following fractions:
- 1/2
- 1/3
- 1/6
To add these fractions, we need to find a common denominator that all three fractions can be converted to.
Finding the Least Common Multiple (LCM)
The least common multiple (LCM) of the denominators 2, 3, and 6 is 6. Therefore, we can convert each fraction to have a denominator of 6:
- 1/2 = 3/6
- 1/3 = 2/6
- 1/6 = 1/6 (no conversion needed)
Adding the Fractions
Now that all fractions have the same denominator, we can add them:
3/6 + 2/6 + 1/6 = 6/6
Simplifying the Answer
The sum of the fractions is 6/6, which can be simplified to:
6/6 = 1
Therefore, the answer to the problem is 1.
Conclusion
In this article, we learned how to add fractions with different denominators by finding the least common multiple (LCM) and converting each fraction to have the same denominator. Finally, we added the fractions and simplified the answer to find the final result of 1.
