Chen rode his skateboard 3 3/4 miles in 3/4 of an hour. What was his average speed in miles per hour?

To find Chen's average speed in miles per hour, we need to divide the total distance he traveled by the total time it took him.

Chen traveled 3 3/4 miles in 3/4 of an hour. To express the mixed number 3 3/4 as an improper fraction, we multiply the whole number (3) by the denominator (4) and add the numerator (3):

3 3/4 = (3 * 4) + 3 = 12 + 3 = 15/4

So, Chen traveled 15/4 miles in 3/4 of an hour.

To find his average speed, we divide the total distance by the total time:

Average speed = Total distance / Total time
Average speed = (15/4) / (3/4)
Average speed = (15/4) * (4/3)
Average speed = 15/3
Average speed = 5 miles per hour

Therefore, Chen's average speed was 5 miles per hour.