7.RP.A.1 Tutor Intake -- Unit Rates with Fractional Quantities

$(3/8) \div (1/4)$ -- distance divided by time, since the answer unit is "miles per hour."

$(1/4) \div (3/8)$ -- time divided by distance, since the smaller fraction should come first.

$(3/8) \times (1/4)$ -- multiply the two given quantities directly.

$(1/4) \times (3/8)$ -- multiply the quantities in the order they were given.

No -- $(1/2)/(1/4)$ still means "1/2 divided by 1/4"; it must be simplified until the denominator is 1.

Yes -- once a complex fraction is written, the unit rate is fully expressed.

No -- the complex fraction should instead be added, not divided.

Yes -- complex fractions are always already in simplest form.

The cost, $\text{\char"0024}5/6$, since the desired unit "dollars per square foot" puts dollars on top.

The area, $3/4$ square foot, since it was given first in the problem.

Neither -- cost and area cannot form a unit rate because they measure different things.

Both quantities should be added together first, then divided by 2.