Solve the Fraction Addition: 1/2 + 1/9 Step by Step

To solve this problem, we will add the fractions $\frac{1}{2}$ and $\frac{1}{9}$ by finding a common denominator.

• First, identify the denominators: 2 and 9.
• Find a common denominator by multiplying the denominators: $2 \times 9 = 18$.
• Convert each fraction to an equivalent fraction with this common denominator:
• Convert $\frac{1}{2}$ to have a denominator of 18 by multiplying both the numerator and denominator by 9: $\frac{1 \times 9}{2 \times 9} = \frac{9}{18}$.
• Convert $\frac{1}{9}$ to have a denominator of 18 by multiplying both the numerator and denominator by 2: $\frac{1 \times 2}{9 \times 2} = \frac{2}{18}$.
• Add the converted fractions: $\frac{9}{18} + \frac{2}{18} = \frac{11}{18}$.
• The fraction $\frac{11}{18}$ is already in its simplest form.

Thus, the sum of the fractions $\frac{1}{2}$ and $\frac{1}{9}$ is $\frac{11}{18}$.