Adding Fractions: 1/2 + 2/3 + 3/4
In this article, we will explore how to add three fractions: 1/2, 2/3, and 3/4. Adding fractions can be a bit tricky, but with the right steps, it can be done easily.
Step 1: Find a Common Denominator
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 2, 3, and 4 is 12. Therefore, we will convert each fraction to have a denominator of 12.
Converting the Fractions
1. 1/2
To convert 1/2 to have a denominator of 12, we multiply the numerator and denominator by 6:
1/2 = (1 × 6) / (2 × 6) = 6/12
2. 2/3
To convert 2/3 to have a denominator of 12, we multiply the numerator and denominator by 4:
2/3 = (2 × 4) / (3 × 4) = 8/12
3. 3/4
To convert 3/4 to have a denominator of 12, we multiply the numerator and denominator by 3:
3/4 = (3 × 3) / (4 × 3) = 9/12
Adding the Fractions
Now that we have converted each fraction to have a denominator of 12, we can add them:
6/12 + 8/12 + 9/12 = (6 + 8 + 9) / 12 = 23/12
The Final Answer
The result of adding 1/2, 2/3, and 3/4 is:
23/12
There you have it! By following these steps, we were able to add three fractions and get the final answer, 23/12.
