Which fractions appear?

Both given quantities are positive halves, from 1/2 through 9/2. Answers are exact whole numbers or reduced fractions.

Does the rate direction change?

Yes. For example, one problem asks for meters per hour and another asks for hours per meter.

What does the key show?

By default, each key shows division, multiplication by the reciprocal and a simplified result with the requested units. Choose Answers only for final answers without the worked steps.

7th grade fractional unit rates

7th grade fractional unit rates worksheets

Students find eight exact unit rates from fractional quantities. Problems ask for rates in both directions using distance and time, rice prices, painted area and pumped volume.

Free printable PDF worksheet, aligned to Common Core 7.RP.A.1.

Each print is a different sheet with its own answer key. You don't need to sign up.

The kind of problems you'll get

Find each exact unit rate. Show division using the reciprocal and include units.

A pump moves 9/2 L in 3/2 min. Find liters per minute.
Answer: 3 L/min
A weaver takes 7/2 hr to make 7/2 m of cloth. Find hours per meter.
Answer: 1 hr/m
A weaver makes 3/2 m of cloth in 9/2 hr. Find meters per hour.
Answer: 1/3 m/hr

Every print pulls a fresh set of problems at this level, so a make-up test or a second sibling never gets the same sheet.

What's on a 7th grade sheet

Fractional unit rates. Find each exact unit rate. Show division using the reciprocal and include units. 8 problems per page.

Every version prints on US Letter or A4, with its answer key after the problems.

How to teach this

Read the requested units first. Ask which quantity is being measured per one unit of the other. Have your child show the reciprocal multiplication and write units with every answer.

Watch for: The requested units decide which quantity goes on top. Hours per meter and meters per hour are different rates. Invert the divisor when dividing fractions.

Common questions about 7th grade fractional unit rates

Which fractions appear?: Both given quantities are positive halves, from 1/2 through 9/2. Answers are exact whole numbers or reduced fractions.
Does the rate direction change?: Yes. For example, one problem asks for meters per hour and another asks for hours per meter.
What does the key show?: By default, each key shows division, multiplication by the reciprocal and a simplified result with the requested units. Choose Answers only for final answers without the worked steps.

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Aligned to Common Core 7.RP.A.1. Reviewed by the One more sheet team. Content version 241, updated October 2026.

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