Divide:
d. `6 (3)/(8) div 17`

Answer

To solve the problem \( 6 \frac{3}{8} \div 17 \), we will follow these steps:

### Step 1: Convert the mixed number to an improper fraction.
The mixed number \( 6 \frac{3}{8} \) can be converted to an improper fraction. To do this, we multiply the whole number (6) by the denominator (8) and then add the numerator (3).

\[ 6 \frac{3}{8} = \frac{(6 \times 8) + 3}{8} = \frac{48 + 3}{8} = \frac{51}{8} \]

### Step 2: Set up the division problem.
Now we can rewrite the division problem using the improper fraction we found:

\[ \frac{51}{8} \div 17 \]

### Step 3: Convert the division into multiplication.
To divide by a number, we can multiply by its reciprocal. The reciprocal of 17 is \( \frac{1}{17} \). Therefore, we can rewrite the expression as:

\[ \frac{51}{8} \times \frac{1}{17} \]

### Step 4: Multiply the fractions.
Now we multiply the numerators and the denominators:

\[ \frac{51 \times 1}{8 \times 17} = \frac{51}{136} \]

### Step 5: Simplify the fraction if possible.
Next, we check if \( \frac{51}{136} \) can be simplified. The greatest common divisor (GCD) of 51 and 136 is 17.

Now we divide both the numerator and the denominator by their GCD:

\[ \frac{51 \div 17}{136 \div 17} = \frac{3}{8} \]

### Final Answer:
Thus, the final answer is:

\[ \frac{3}{8} \]

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