Evaluate the sum:
`9(3)/(7)+2(4)/(7)`

Answer

To evaluate the sum \( 9 \frac{3}{7} + 2 \frac{4}{7} \), we will follow these steps:

### Step 1: Convert Mixed Numbers to Improper Fractions
First, we need to convert the mixed numbers \( 9 \frac{3}{7} \) and \( 2 \frac{4}{7} \) into improper fractions.

For \( 9 \frac{3}{7} \):
\[ 9 \frac{3}{7} = 9 \times 7 + 3 = 63 + 3 = \frac{66}{7} \]

For \( 2 \frac{4}{7} \):
\[ 2 \frac{4}{7} = 2 \times 7 + 4 = 14 + 4 = \frac{18}{7} \]

### Step 2: Add the Improper Fractions
Now that we have both fractions, we can add them together:
\[ \frac{66}{7} + \frac{18}{7} = \frac{66 + 18}{7} = \frac{84}{7} \]

### Step 3: Simplify the Result
Next, we simplify \( \frac{84}{7} \):
\[ \frac{84}{7} = 12 \]

### Final Answer
Thus, the sum \( 9 \frac{3}{7} + 2 \frac{4}{7} \) evaluates to \( 12 \).

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