Evaluate the sum:
`9(11)/(23)+12(13)/(23)`

Answer

To evaluate the sum \( \frac{9 \cdot 11}{23} + \frac{12 \cdot 13}{23} \), we will follow these steps:

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

For \( 9 \frac{11}{23} \):
\[ 9 \frac{11}{23} = \frac{9 \cdot 23 + 11}{23} = \frac{207 + 11}{23} = \frac{218}{23} \]

For \( 12 \frac{13}{23} \):
\[ 12 \frac{13}{23} = \frac{12 \cdot 23 + 13}{23} = \frac{276 + 13}{23} = \frac{289}{23} \]

### Step 2: Add the Improper Fractions
Now, we can add the two improper fractions:
\[ \frac{218}{23} + \frac{289}{23} = \frac{218 + 289}{23} \]

### Step 3: Calculate the Numerator
Now we need to calculate the sum of the numerators:
\[ 218 + 289 = 507 \]

### Step 4: Write the Final Answer
Now we can write the final answer as:
\[ \frac{507}{23} \]

### Final Answer
Thus, the evaluated sum is:
\[ \frac{507}{23} \]

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