Simplifying the Sum of Fractions: 1/4 + 1/3 + 1/9
When dealing with fractions, it's essential to have a solid understanding of how to add and simplify them. In this article, we'll explore the process of adding three fractions together: 1/4 + 1/3 + 1/9. Let's dive in!
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 4, 3, and 9. The LCM of these numbers is 36. This means we'll convert each fraction to have a denominator of 36.
Step 2: Convert Each Fraction
Let's convert each fraction to have a denominator of 36:
- 1/4 = 9/36
- 1/3 = 12/36
- 1/9 = 4/36
Step 3: Add the Fractions
Now that we have each fraction with a denominator of 36, we can add them together:
9/36 + 12/36 + 4/36 = 25/36
The Final Answer
The result of adding 1/4 + 1/3 + 1/9 is 25/36.
In conclusion, by finding the least common multiple and converting each fraction accordingly, we can simplify the sum of 1/4 + 1/3 + 1/9 to a single fraction: 25/36.
