Evaluate. $$ \frac{7}{9}+\frac{5}{6} \cdot \frac{1}{3} $$ Write your answer in simplest form.

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UpStudy AI · Accepted Answer

Let us evaluate the expression step by step:

1. First, perform the multiplication:
   $$
   \frac{5}{6} \cdot \frac{1}{3} = \frac{5 \cdot 1}{6 \cdot 3} = \frac{5}{18}
   $$

2. Now, add the result to $$\frac{7}{9}$$:
   $$
   \frac{7}{9} + \frac{5}{18}
   $$

3. To add the fractions, we need a common denominator. The least common denominator of $$9$$ and $$18$$ is $$18$$. Convert $$\frac{7}{9}$$ to an equivalent fraction with denominator $$18$$:
   $$
   \frac{7}{9} = \frac{7 \cdot 2}{9 \cdot 2} = \frac{14}{18}
   $$

4. Now, add the fractions:
   $$
   \frac{14}{18} + \frac{5}{18} = \frac{14+5}{18} = \frac{19}{18}
   $$

Thus, the final answer in simplest form is:
$$
\frac{19}{18}
$$
$$\frac{19}{18}$$

Evaluate.
Write your answer in simplest form.

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Evaluate. Write your answer in simplest form.