Adding Fractions: 1/9 + 2/3
To add two fractions, we need to follow some simple steps. In this article, we will learn how to add 1/9 and 2/3.
Step 1: Find the Least Common Multiple (LCM)
The first step is to find the least common multiple (LCM) of the denominators, which are 9 and 3. To do this, we need to list the multiples of each number:
Multiples of 9: 9, 18, 27, 36, ... Multiples of 3: 3, 6, 9, 12, ...
The first number that appears in both lists is 9, so the LCM is 9.
Step 2: Convert Both Fractions to Have the LCM as the Denominator
Now, we need to convert both fractions to have a denominator of 9:
1/9 = 1/9 (no change needed) 2/3 = 6/9 (multiply numerator and denominator by 3)
Step 3: Add the Fractions
Now that both fractions have the same denominator, we can add them:
1/9 + 6/9 = 7/9
The Result
The result of adding 1/9 and 2/3 is 7/9.
Answer: 1/9 + 2/3 = 7/9
