Solve the Fraction Addition: 1/3 + 4/9 Step by Step

The problem involves adding the fractions $\frac{1}{3}$ and $\frac{4}{9}$.

Step 1: Identify the Least Common Denominator (LCD).

• The denominators are 3 and 9. The least common multiple of 3 and 9 is 9. Thus, the LCD is 9.

Step 2: Convert the fractions to have the common denominator.

• The fraction $\frac{1}{3}$ must be converted to have the denominator of 9. Multiply both the numerator and denominator by 3:
• $\frac{1}{3} = \frac{1 \times 3}{3 \times 3} = \frac{3}{9}$
• The fraction $\frac{4}{9}$ already has the denominator of 9, so it remains unchanged.

Step 3: Add the equivalent fractions.

• Add the numerators together, keeping the denominator:
• $\frac{3}{9} + \frac{4}{9} = \frac{3+4}{9} = \frac{7}{9}$

Step 4: Simplify the result, if necessary.

• The fraction $\frac{7}{9}$ is already in simplest form.

Therefore, the solution to the problem is $\frac{7}{9}$.