Charles is on an \( 8 \frac{1}{2} \) mile bike ride. He stops for a rest after he's gone \( 5 \frac{2}{5} \) miles. How much farther does he still have to go \( 3 \frac{1}{10} \) miles \( 3 \frac{3}{10} \) miles \( 2 \frac{1}{5} \) miles \( 3 \frac{2}{5} \) miles

To find out how much farther Charles has to go, we need to subtract the distance he has already traveled from the total distance of the bike ride. First, convert the mixed numbers into improper fractions: - \( 8 \frac{1}{2} = \frac{17}{2} \) - \( 5 \frac{2}{5} = \frac{27}{5} \) Now, we need a common denominator to perform the subtraction. The least common multiple of 2 and 5 is 10. We convert the fractions: - \( \frac{17}{2} = \frac{85}{10} \) - \( \frac{27}{5} = \frac{54}{10} \) Now, we subtract: \[ \frac{85}{10} - \frac{54}{10} = \frac{31}{10} \] Convert back to a mixed number: \[ \frac{31}{10} = 3 \frac{1}{10} \] So, Charles has \( 3 \frac{1}{10} \) miles left to ride! To help visualize this, it's interesting to note that biking is not just a way to commute but also a great way to maintain fitness and enjoy the outdoors. Whether it’s a quick trip to the store or an adventure on scenic trails, each pedal stroke is healthier than sitting on the couch! Also, in terms of biking safety, always remember to check your brakes and tires before heading out. It's amazing how often those small checks can prevent larger issues down the road. And hey, don't forget your helmet!