Heather rode her bicycle 3 5/6 miles in 2/3 hours what was her average speed in miles per hour

Answer 1

To find the average speed, divide the total distance traveled by the total time taken.

Heather rode her bicycle for 3 5/6 miles in 2/3 hours.

Converting 3 5/6 miles to an improper fraction:
3(6/6) + 5/6 = 18/6 + 5/6 = 23/6 miles

So, Heather rode a total of 23/6 miles.

Average speed = Total Distance / Total Time
= (23/6 miles) / (2/3 hours)

To divide fractions, invert the second fraction and multiply:
= (23/6 miles) * (3/2 hours)
= (69/12) miles

Simplifying the fraction, we get:
= 5 9/12 miles

Reducing the fraction, we get:
= 5 3/4 miles

Therefore, Heather's average speed was 5 3/4 miles per hour.