Evaluate the sum:
`13(15)/(27)+12(14)/(27)`

Answer

To evaluate the sum \( 13\frac{15}{27} + 12\frac{14}{27} \), we will follow these steps:

### Step 1: Convert Mixed Numbers to Improper Fractions
First, we need to convert the mixed numbers into improper fractions.

For \( 13\frac{15}{27} \):
\[ 13\frac{15}{27} = \frac{(13 \times 27) + 15}{27} = \frac{351 + 15}{27} = \frac{366}{27} \]

For \( 12\frac{14}{27} \):
\[ 12\frac{14}{27} = \frac{(12 \times 27) + 14}{27} = \frac{324 + 14}{27} = \frac{338}{27} \]

### Step 2: Add the Improper Fractions
Now we add the two improper fractions:
\[ \frac{366}{27} + \frac{338}{27} = \frac{366 + 338}{27} = \frac{704}{27} \]

### Step 3: Convert the Result Back to a Mixed Number
To convert \( \frac{704}{27} \) back to a mixed number, we divide 704 by 27:
\[ 704 \div 27 = 26 \quad \text{(whole number part)} \]
Now, we calculate the remainder:
\[ 704 - (27 \times 26) = 704 - 702 = 2 \]
So, we can express \( \frac{704}{27} \) as:
\[ 26\frac{2}{27} \]

### Final Answer
Thus, the final answer is:
\[ \boxed{26\frac{2}{27}} \]

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