Solving 1/2 + 1/3
In this article, we will learn how to solve the fraction addition problem 1/2 + 1/3.
Understanding the Problem
Before we dive into the solution, let's understand what the problem is asking us to do. We are asked to add two fractions: 1/2 and 1/3. The goal is to find the sum of these two fractions.
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 2 and 3. The LCM of 2 and 3 is 6.
Step 2: Convert the Fractions
Now that we have the LCM, we need to convert both fractions to have a denominator of 6:
- 1/2 = 3/6 (multiply numerator and denominator by 3)
- 1/3 = 2/6 (multiply numerator and denominator by 2)
Step 3: Add the Fractions
Now that both fractions have the same denominator, we can add them:
3/6 + 2/6 = 5/6
The Solution
Therefore, the solution to the problem 1/2 + 1/3 is 5/6.
Conclusion
In this article, we learned how to solve the fraction addition problem 1/2 + 1/3 by finding the least common multiple, converting the fractions, and adding them. The final answer is 5/6.
