Add, simplify if necessary.

Question

7/9 + 5/18 = [__] [__]/[__]

Answer 1

To add the fractions $\frac{7}{9}$ and $\frac{5}{18}$, we first need a common denominator.

The least common multiple (LCM) of the denominators 9 and 18 is 18.

Now, let's convert $\frac{7}{9}$ to the equivalent fraction with a denominator of 18:

$$\frac{7}{9}=\frac{7\times 2}{9\times 2}=\frac{14}{18}$$

Now we can add the fractions:

$$\frac{14}{18}+\frac{5}{18}=\frac{14+5}{18}=\frac{19}{18}$$

Since $\frac{19}{18}$ is already in simplest form, the answer can be expressed as:

$$[19][1]/[18]$$

Thus, the final answer is:

$$\frac{19}{18}$$