Back to Compute unit rates associated with ratios of fractions — Problem 2 · Task Set 1

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

This short check helps your tutor see where to start. Work each problem on
your own, without a calculator. If you are not sure, give your best try --
every answer helps your tutor plan your first few sessions.

Grade 7·10 problems·~10 min·Common Core Math - Grade 7·standard·7-rp-a-1

Work through problems with immediate feedback

Concepts

A student writes the unit rate for "1/2 mile in 1/4 hour" as the
complex fraction $(1/2)/(1/4)$ and stops there, calling this the
final answer. Is this complete?

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.