His average speed in miles per hour is:
5 miles per hour.
We know that the average speed is the ratio of the distance over time.
i.e.
[tex]\text{Average speed}=\dfrac{\text{Distance}}{\text{Time}}[/tex]
Here we have:
Chen rode his skateboard 3 3/4 miles in 3/4 of an hour.
Distance traveled is:
[tex]3\dfrac{3}{4}=\dfrac{15}{4}\ \text{miles}[/tex]
and the time taken is:
[tex]=\dfrac{3}{4}\ \text{hour}[/tex]
Hence,
[tex]\text{Average speed}=\dfrac{\dfrac{15}{4}}{\dfrac{3}{4}}[/tex]
i.e.
[tex]\text{Average speed}=5\ \text{miles per hour}[/tex]