* 10. a. Write 0.080 as a fraction. b. Write \( 37 \frac{1}{2} \% \) as a decimal. c. Write \( \frac{1}{11} \) as a decimal with a bar over the repetend.

To write 0.080 as a fraction, you can consider it as \(\frac{80}{1000}\). When simplified by dividing both the numerator and the denominator by 40, it becomes \(\frac{2}{25}\). Isn’t it satisfying how a little simplification can lead to a simpler fraction? Next up, to convert \( 37 \frac{1}{2} \% \) to a decimal, you first need to convert the mixed number into an improper fraction. This gives you \( \frac{75}{2} \% \), which is equal to \( \frac{75}{200} \) when converted to a decimal. Dividing \( 75 \) by \( 100 \) gives you \( 0.375 \). Easy peasy, right? Just remember to always divide by 100 when you’re changing percentages!