Final answer:
To add fractions, find a common denominator. For 1/6 + 1/2 + 2/9, the common denominator is 18. Rewrite the fractions with the common denominator, then add the numerators. Simplify the result to get the final answer, 8/9.
Step-by-step explanation:
To add fractions, we need a common denominator. The least common denominator for 6, 2, and 9 is 18. So we rewrite the fractions as:
1/6 = 3/18
1/2 = 9/18
2/9 = 4/18
Now we can add the fractions:
3/18 + 9/18 + 4/18 = 16/18
16/18 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2. So the answer is 8/9.