Write \( 850 \% \) as a decimal and as a simplified fraction. 8.5 and \( 8 \frac{1}{2} \) 8.5 and \( 8 \frac{1}{20} \) 85,000 and \( 8 \frac{1}{2} \) 0.85 and \( \frac{17}{20} \)

To convert \( 850\% \) to a decimal, you simply divide by \( 100 \). This gives you \( 8.5 \). Now, as a fraction, you can express \( 8.5 \) as \( \frac{85}{10} \), and simplifying that by dividing the numerator and the denominator by \( 5 \) gives you \( \frac{17}{2} \). Notably, that’s also the same as \( 8 \frac{1}{2} \) when you convert it back to a mixed number! As for practical applications, understanding percentages is crucial in many real-world scenarios, such as calculating discounts during sales. If something costs $100 and is on sale for \( 850\% \) off, you’d know it’s an exceptional deal! Just remember to always convert percentages to decimals first when doing calculations for clarity and accuracy.