Simplifying the Fraction: 2/9 + 5/6
To simplify the fraction 2/9 + 5/6, we need to follow the steps of adding fractions with different denominators.
Step 1: Find the Least Common Multiple (LCM)
The least common multiple of 9 and 6 is 18. Therefore, we need to convert both fractions to have a denominator of 18.
Step 2: Convert the Fractions
- 2/9 = (2 × 2)/(9 × 2) = 4/18
- 5/6 = (5 × 3)/(6 × 3) = 15/18
Step 3: Add the Fractions
Now that both fractions have the same denominator, we can add them:
4/18 + 15/18 = (4 + 15)/18 = 19/18
Simplified Fraction
The simplified fraction of 2/9 + 5/6 is 19/18.
