Adding Fractions: 1/2 + 2/3 + 3/4 in Fraction Form
When it comes to adding fractions, it can be a bit tricky. But don't worry, with the right steps, you can easily add fractions together. In this article, we'll explore how to add 1/2 + 2/3 + 3/4 in fraction form.
Step 1: Find the Least Common Multiple (LCM)
The first step is to find the least common multiple (LCM) of the denominators. The denominators are 2, 3, and 4. To find the LCM, we need to list the multiples of each denominator:
- Multiples of 2: 2, 4, 6, 8, 10, ...
- Multiples of 3: 3, 6, 9, 12, 15, ...
- Multiples of 4: 4, 8, 12, 16, 20, ...
The first number that appears in all three lists is 12. Therefore, the LCM is 12.
Step 2: Convert Each Fraction to Have a Denominator of 12
Now that we have the LCM, we need to convert each fraction to have a denominator of 12:
- 1/2 = 6/12
- 2/3 = 8/12
- 3/4 = 9/12
Step 3: Add the Fractions
Now that all the fractions have the same denominator, we can add them together:
6/12 + 8/12 + 9/12 = 23/12
And that's it! The result of adding 1/2 + 2/3 + 3/4 in fraction form is 23/12.
Conclusion
Adding fractions may seem daunting at first, but by following these simple steps, you can easily add fractions together. Remember to find the least common multiple, convert each fraction to have the same denominator, and then add them together. With practice, you'll become a pro at adding fractions in no time!
