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
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The stenographer types 510 words in 180 seconds. To find the ratio of words to seconds, we can express it as \( \frac{510 \text{ words}}{180 \text{ seconds}} \). Simplifying this fraction involves finding the greatest common divisor (GCD) of 510 and 180, which is 30. Dividing both the numerator and the denominator by 30 gives us \( \frac{17 \text{ words}}{6 \text{ seconds}} \). So, the answer is: \( \frac{17 \text{ words}}{6} \) seconds
