Adding Unlike Fractions: Solving 1/3 + 2/9 with Pizza Slices

To solve this problem, we need to express the portions eaten by the husband and the son as fractions of their respective pizzas and then add these fractions.

First, let's express the husband's consumption as a fraction. The husband eats 1 slice from the first pizza, which is divided into 3 equal slices. Therefore, the husband eats:

$\frac{1}{3}$ of the first pizza.

Next, express the son's consumption as a fraction. The son eats 2 slices from the second pizza, which is divided into 9 equal slices. Therefore, the son eats:

$\frac{2}{9}$ of the second pizza.

Now, to add these fractions, we need a common denominator. The denominators here are 3 and 9. The least common denominator for these is 9. So, we convert $\frac{1}{3}$ to have a denominator of 9:

$\frac{1}{3} = \frac{3 \times 1}{3 \times 3} = \frac{3}{9}$.

Now, add the fractions:

$\frac{3}{9} + \frac{2}{9} = \frac{5}{9}$.

Therefore, the total amount the husband and the son eat in total is $\frac{5}{9}$ of the combined pizzas.

Thus, the correct answer is $\frac{5}{9}$.