Simplifying the Fraction: 1/2 + 1/4 + 1/6
When working with fractions, it's essential to understand how to add and simplify them. In this article, we'll explore how to add the fractions 1/2, 1/4, and 1/6, and simplify the result.
Step 1: Find the Least Common Multiple (LCM)
To add these fractions, we need to find the least common multiple (LCM) of their denominators, which are 2, 4, and 6. The LCM of these numbers is 12. Therefore, we'll convert each fraction to have a denominator of 12.
Step 2: Convert the Fractions
1/2 = 6/12
1/4 = 3/12
1/6 = 2/12
Step 3: Add the Fractions
Now, we can add the fractions:
6/12 + 3/12 + 2/12 = 11/12
Simplified Result
The simplified result of adding 1/2, 1/4, and 1/6 is 11/12.
In conclusion, by finding the least common multiple and converting the fractions, we were able to add 1/2, 1/4, and 1/6 and simplify the result to 11/12.
