Adding Fractions: 1/12 + 1/9
In this article, we will learn how to add two fractions, 1/12 and 1/9, and express the result in fraction form.
Understanding the Concept
Before we dive into the calculation, let's quickly review the concept of adding fractions. To add two fractions, we need to follow these steps:
- Find the least common multiple (LCM) of the denominators of the two fractions.
- Convert both fractions to have the LCM as the denominator.
- Add the numerators (numbers on top).
- Write the result as a fraction with the LCM as the denominator.
Calculating 1/12 + 1/9
Let's apply the steps above to add 1/12 and 1/9.
Step 1: Find the LCM
The least common multiple of 12 and 9 is 36.
Step 2: Convert both fractions
Convert 1/12 to have a denominator of 36:
1/12 = 3/36
Convert 1/9 to have a denominator of 36:
1/9 = 4/36
Step 3: Add the numerators
Add the numerators (numbers on top):
3 + 4 = 7
Step 4: Write the result
Write the result as a fraction with the LCM as the denominator:
7/36
Result: 1/12 + 1/9 = 7/36
Therefore, the result of adding 1/12 and 1/9 is 7/36.
