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: $$ \frac{\square ext { words }}{\square} $$ seconds

Question

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: $$ \frac{\square 	ext { words }}{\square} $$ seconds

UpStudy AI · Accepted Answer

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
$$
\frac{17 \text{ words}}{6 \text{ seconds}}
$$
The ratio of words to seconds is $$ \frac{17 \text{ words}}{6 \text{ seconds}} $$.

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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