Question

Roger can ride his bike at an average speed of 14 ½ miles per hour. At this rate, how far will he travel in 2 and 2/3 hours? Write your answer as an improper fraction in simplest form.

Answer 1

To find the distance Roger will travel, we multiply his average speed by the time he spends riding his bike. Roger's average speed is 14 ½ miles per hour, and the time he spends riding is 2 and 2/3 hours. The distance Roger will travel is 116/3 miles.

Step-by-step explanation:

To find the distance Roger will travel, we need to multiply his average speed by the time he spends riding his bike. Roger's average speed is 14 ½ miles per hour, which can be written as the improper fraction 29/2 miles per hour. The time he spends riding is 2 and 2/3 hours, which can be written as the improper fraction 8/3 hours.

To multiply these fractions, we multiply the numerators (29 * 8 = 232) and the denominators (2 * 3 = 6). So the distance Roger will travel is 232/6 miles.

This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 2. Dividing 232 by 2 gives us 116, and dividing 6 by 2 gives us 3. So the simplified distance is 116/3 miles.