If you are 4/7 mile from your home and you can walk 4 5/7 miles per hour, how long it will take you to walk home?

Rate x time = distance

4 5/7 miles / hour · t = 4/7 mile

t=4/7 mile x (1:7/33)

t=4/7 · 7/33 (cancel out the 7s)

t=4/33 hour

t≈8 minutes (because 33 minutes is approximately 1/2 hour)