Adding Fractions: 1/9 + 1/12
In this article, we will learn how to add two fractions, 1/9 and 1/12, and express the result as a single 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 9 and 12. The LCM of 9 and 12 is 36.
Step 2: Convert the Fractions
Now, we need to convert both fractions to have a denominator of 36:
- 1/9 = (1 x 4) / (9 x 4) = 4/36
- 1/12 = (1 x 3) / (12 x 3) = 3/36
Step 3: Add the Fractions
Now that both fractions have the same denominator, we can add them:
4/36 + 3/36 = (4 + 3) / 36 = 7/36
Result
The result of adding 1/9 and 1/12 is:
1/9 + 1/12 = 7/36
There you have it! We have successfully added two fractions and expressed the result as a single fraction.