Solve 5/9 + 4/9: Adding Fractions with Same Denominators

To solve this problem, we will follow these steps:

• Step 1: Identify that both fractions have the same denominator.
• Step 2: Use the formula for adding fractions with like denominators.
• Step 3: Calculate the sum of the numerators and keep the denominator unchanged.

Now, let’s work through each step:
Step 1: We observe that the fractions $\frac{5}{9}$ and $\frac{4}{9}$ both have the denominator of 9.
Step 2: We'll apply the formula for adding fractions: $\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}$.
Step 3: Add the numerators 5 and 4 while keeping the denominator as 9:
$\frac{5}{9} + \frac{4}{9} = \frac{5 + 4}{9} = \frac{9}{9} = 1$.

Therefore, the solution to the problem is $1$.