A person jogs 1/6 mile in 1/42 hour. what is the person's speed in miles per hour

So normally you would take the amount of miles and divide it by the hours to get a simple miles per hour.

Division of two fractions can be made easier by flipping the second fraction, and changing the operation to multiplication.

(1/6) / (1/42)
= (1/6) x (42/1)

From then, it is simply top x top, bottom x bottom.

= 42/6

Complete the division

= 7/1
= 7 miles per hour