What is the sum of 1/2 + 1/3 + 1/9?

To find the sum of the fractions 1/2, 1/3, and 1/9, we first need to determine a common denominator for these fractions. The least common multiple of the denominators (2, 3, and 9) is 18.

Next, we rewrite each fraction with this common denominator:

• For 1/2: [ \frac{1}{2} = \frac{1 \times 9}{2 \times 9} = \frac{9}{18} ]

• For 1/3: [ \frac{1}{3} = \frac{1 \times 6}{3 \times 6} = \frac{6}{18} ]

• For 1/9: [ \frac{1}{9} = \frac{1 \times 2}{9 \times 2} = \frac{2}{18} ]

Now, we can add these fractions together: [ \frac{9}{18} + \frac{6}{18} + \frac{2}{18} = \frac{9 + 6 +