Grade 7 · Math

7th grade Unit rates with fractions worksheet

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Unit rates with fractions

Grade 7 Math Worksheet

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Circle the best answer, or write your answer on the line.

Luz washes 5/8 square meter of a classroom window in 1/2 hour, squeaking all the way. How many square meters does Luz wash in 1 hour?
A storm fills Jun's rain barrel with 1/2 gallon in 1/8 hour. How many gallons fill the barrel in 1 hour?
Zee stands a stick that is 1/2 foot tall in the sun. Its shadow is 3/4 foot long. How many feet of shadow go with 1 foot of stick?
Kira stands a stick that is 3/4 foot tall in the late sun. Its shadow is 7/8 foot long. How many feet of shadow go with 1 foot of stick?
Milo measures a short pole that is 3/4 foot tall. At noon its shadow is 5/8 foot long. How many feet of shadow go with 1 foot of pole?
Ari reads 3/4 chapter of a mystery in 3 days, with snack breaks. How much of a chapter does Ari read in 1 day? How many days does 1 chapter take?
Esme's leaky circle fills 1/2 cup of water in 6 minutes. How many cups of water fill in 1 minute? How many minutes does 1 cup take?
8.
Ari's water-bottle filler pours 1/2 cup of water in 3/4 minute. Which sentence gives the unit rate?
- 2/3 minute for each cup of water
- 2/3 cup of water for each minute
- 3/2 cups of water for each minute
- 1/2 cup of water for each minute
9.
Pia walks 1 mile in 3/10 hour on a smooth path. Which sentence gives the unit rate?
- 1 mile for each hour
- 10/3 miles for each hour
- 10/3 hours for each mile
- 3/10 mile for each hour
Esme bikes 9 miles in 3/4 hour on a trail, passing three very polite geese. How many miles does Esme bike in 1 hour?

Unit rates with fractions. Every version has 10 questions, and the answer key prints on the second page.

I can find the amount for 1 when one or both amounts are fractions: 3/4 mile in 1/2 hour is 1 1/2 miles for 1 hour.
I can find the rate both ways (miles for 1 hour, hours for 1 mile), and I know the two multiply to 1.
I can change the time unit first (25 minutes to 60 minutes), then use a rate to find an amount.

Standard: 7.RP.A.1

unit rate: The amount of one thing for exactly 1 of another, like miles for 1 hour.

per / for each: The thing after these words is the one that becomes 1.

the 1 row: The table row whose first number is 1. Its second number is the unit rate.

like units: Both amounts are measured in the same unit, like feet of stick and feet of shadow.

rate for 1 (the other way): Flip which thing becomes 1: hours for 1 mile instead of miles for 1 hour.

Your child divided the two amounts the wrong way round, so the answer is for 1 of the other thing.

Your child multiplied the two amounts together.

Your child gave one of the amounts from the story instead of the amount for exactly 1.

Ask: the thing after “per” or “for each” is the one that becomes 1. Which one is it here?

Ask: if 1/2 mile takes 1/4 hour, does a whole hour go farther or less far than 1/2 mile?

Ask: is that amount for 1, or for the amount we were told about?

What is the most common mistake with unit rates with fractions?

Your child divided the two amounts the wrong way round, so the answer is for 1 of the other thing.

How can I help my child with unit rates with fractions?

Ask: the thing after “per” or “for each” is the one that becomes 1. Which one is it here?

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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