An average stenographer can type 510 words in 180 seconds. Write the ratio of words to seconds as a simplified fraction. Provide your answer below: \( \frac{\square \text { words }}{\square} \) seconds

1. We start with the ratio of words to seconds: \[ \frac{510 \text{ words}}{180 \text{ seconds}} \] 2. To simplify, we divide both the numerator and denominator by their greatest common divisor. In this case, both 510 and 180 are divisible by 30. 3. Dividing the numerator and denominator by 30: \[ 510 \div 30 = 17 \quad \text{and} \quad 180 \div 30 = 6 \] 4. The simplified ratio is: \[ \frac{17 \text{ words}}{6 \text{ seconds}} \] Thus, the final answer is \[ \frac{17 \text{ words}}{6 \text{ seconds}} \]