Simplifying Fractions: 2/5 + 1/3
When it comes to adding fractions, the process can be a bit tricky. However, with the right steps, you can simplify the result to its most basic form. In this article, we'll explore how to simplify the fraction 2/5 + 1/3.
Step 1: Find the Least Common Multiple (LCM) To add fractions, we need to find the least common multiple (LCM) of the denominators, which are 5 and 3. The LCM of 5 and 3 is 15.
Step 2: Convert the Fractions Convert both fractions to have a denominator of 15:
- 2/5 = (2 × 3)/(5 × 3) = 6/15
- 1/3 = (1 × 5)/(3 × 5) = 5/15
Step 3: Add the Fractions Now that both fractions have the same denominator, we can add them:
- 6/15 + 5/15 = 11/15
The Simplified Result The simplified result of 2/5 + 1/3 is:
11/15
This is the most basic form of the fraction, and it's the result of adding 2/5 and 1/3.
In conclusion, simplifying fractions requires attention to the denominators and finding the least common multiple. By following these steps, you can simplify complex fractions like 2/5 + 1/3 to their most basic form.
