Adding Fractions: 3/4 + 2/3
In this article, we will learn how to add two fractions, specifically 3/4 and 2/3, and express the answer as a fraction.
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 4 and 3 in this case. The LCM of 4 and 3 is 12.
Step 2: Convert the Fractions to Have the LCM as the Denominator
Now, we need to convert both fractions to have a denominator of 12:
- 3/4 = (3 x 3)/(4 x 3) = 9/12
- 2/3 = (2 x 4)/(3 x 4) = 8/12
Step 3: Add the Fractions
Now that both fractions have the same denominator, we can add them:
9/12 + 8/12 = (9 + 8)/12 = 17/12
The Answer
So, the result of adding 3/4 and 2/3 is 17/12.
In Conclusion
In this article, we learned how to add two fractions by finding the least common multiple of the denominators, converting the fractions to have the same denominator, and then adding them. The answer to 3/4 + 2/3 is 17/12.
