Grade 7 · Math

7th grade Unit rates with fractions worksheet

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Unit rates with fractions

Grade 7 Math Worksheet - Challenge Me

NameDate

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

Zee walks 4/5 mile in 3/10 hour on a nature trail. What is the unit rate, in miles per hour?
Jun's sink fills with 5/6 gallon of water in 3/4 minute while the radio plays. What is the unit rate, in gallons per minute?
Bo paints 5/8 square meter of a garden fence in 2/3 hour, humming off key. What is the unit rate, in square meters per hour?
Read this first
Ratio table
minutes miles
20 3/4
60 ?
With 60 minutes in 1 hour.
Kira walks 3/4 mile in 20 minutes at a steady pace. There are 60 minutes in 1 hour. How many miles per hour is that?
A slow circle drips 1/8 cup of water into Noah's bucket in 15 minutes. There are 60 minutes in 1 hour. How many cups of water per hour is that?
A roof drip fills a cup in Ren's shed with 1/4 cup of water in 45 minutes. There are 60 minutes in 1 hour. How many cups of water per hour is that?
Row 1 | ?, row 3/4 | ? Pia bikes 3 miles in 1/4 hour at a steady speed. At the same speed, how many miles does Pia bike in 3/4 hour?
Row 1 | ?, row 2 | ? Tala catches 1/3 cup of water from a drip in 3/4 hour. At the same rate, how many cups of water drip in 2 hours?
9.
Ari times two toy robots on the kitchen floor. Robot A walks 3/4 foot in 1/3 minute. Robot B walks 2/3 foot in 1/4 minute. Which robot is faster?
- Robot A
- Robot B
- They are the same
10.
Noah times two scooters. Scooter A goes 1/2 mile in 1/12 hour. Scooter B goes 3/5 mile in 1/6 hour. Which scooter is faster?
- Scooter B
- Scooter A
- They are the same

minutes	miles
20	3/4
60	?

7th grade Unit rates with fractions worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

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

What your child will learn

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

Words to know

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.

Common mistakes

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.

What to say

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?

Questions parents ask

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.

More grade 7 math

See all grade 7 math

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