Solve the Fraction Addition: 3/8 + 1/9 Step-by-Step

To solve the problem of adding the two fractions $\frac{3}{8}$ and $\frac{1}{9}$, follow these steps:

• Step 1: Find the least common denominator (LCD) of the fractions. We calculate $8 \times 9 = 72$. Thus, the LCD is 72.
• Step 2: Convert each fraction to an equivalent fraction with the LCD as the new denominator.
• For $\frac{3}{8}$, multiply the numerator and denominator by 9: $\frac{3 \times 9}{8 \times 9} = \frac{27}{72}$.
• For $\frac{1}{9}$, multiply the numerator and denominator by 8: $\frac{1 \times 8}{9 \times 8} = \frac{8}{72}$.
• Step 3: Add the two fractions: $\frac{27}{72} + \frac{8}{72} = \frac{27 + 8}{72} = \frac{35}{72}$.
• Step 4: Simplify the resulting fraction if possible. Here, $\frac{35}{72}$ is already in its simplest form.

Thus, the sum of $\frac{3}{8}$ and $\frac{1}{9}$ is $\frac{35}{72}$.

Therefore, the solution to the problem is $\frac{35}{72}$.