How can I convert m/s to mi/h using only simple unit ratios?

[Jbright1406]

Ok, i know how to convert to and from the metric system and how to convert within, but what exactly am i supposed to do with this. Notice I am not asking for it solved, but guidance on how to solve, bc this seems like a really stupid way for us to have to convert with extra steps added and mixed in. Also there is not much to work out by hand i believe other than writing and cancelling out. thank you. also i believe number seven is A

 

[edziura]

Suppose you were stranded on a desert island and didn't have a table of conversion factors, and suppose also that you'd had a coconut fall from a tree and lost your memory of all but the most basic conversion factors. Using your remaining knowledge of simple unit ratios (12 inches / 1 ft, for example), you could write one of the expressions in #7 to convert m/s to mi/h.

To start with mi/h and end with m/s, one must write a series of simple unit ratios, one of which has mi in the denominator (so as to 'cancel' mi from the final expression) and another of which that has m in the numerator (so we end up with m/s). The only answer to #7 that could be correct (can't see all of it) is answer e; its the only one that has a unit ratio with m in the numerator of one of the factors.

This is just an exercise in writing and simplifying unit ratios, aka unit fractions.