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Unit Rate/Complex Fractions - Printable Mathematics Worksheets - Wayground

Unit Rate/Complex Fractions

15 questions

7th - 7th Grade

Mathematics

Unit Rate/Complex Fractions is a free printable Grade 7 mathematics worksheet for pre-algebra practice. Its 15 multiple-choice questions ask students to calculate unit rates such as cookies per dollar, dollars per pound, and houses per hour; simplify complex fractions; identify numerators and denominators; recognize fractions equivalent to 1; and apply rates to practical situations. The worksheet helps students connect fraction operations with proportional reasoning and real-world problem solving. Students must select the correct rate unit, simplify fractional expressions, and use a known rate to estimate or determine quantities in contexts such as running distances, purchases, and budgets. A complete answer key is included, making this free printable worksheet useful for independent practice, review, or checking understanding after instruction.

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Unit Rate/Complex Fractions

Total questions: 15

Name
Class
Date
1.
You can buy 36 cookies for $4. What is the unit rate (in cookies per dollar)?
a)
4 cookies per dollar
b)
6 cookies per dollar
c)
9 cookies per dollar
d)
1/9 dollars per cookie
2.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
3.
A realtor visits 13 houses in 3 hours. What is the unit rate in houses per hour?
a)
10 houses per hour
b)
4 houses per hour
c)
3/13 houses per hour
d)
13/3 houses per hour
4.
It costs $5 to buy 2 pounds of fish tank gravel. What is the unit rate in dollars per pound?
a)
5/2 dollars per pound
b)
2/5 dollars per pound
c)
3 dollars per pound
d)
2 dollars per pound
5.
Question Image
a)
a
b)
b
c)
c
d)
d
6.
Question Image
a)
a
b)
b
c)
c
d)
d
7.
Simplify the complex fraction shown.
Simplify the complex fraction shown.
a)
9/40
b)
40/9
c)
10/36
d)
5/18
8.
Simplify the complex fraction.
Simplify the complex fraction.
a)
18
b)
1/18
c)
9/72
d)
1/8
9.
Question Image
a)
1
b)
3
c)
9
d)
8
10.
The number on the bottom of a fraction is called what?
a)
numerator
b)
denominator
c)
equivalent
d)
improper
11.
The number on the top of a fraction is called what?
a)
numerator
b)
denominator
c)
fractionator
d)
equivalent
12.
Which fraction is equivalent to 1?
a)
1/2
b)
1/10
c)
5/5
d)
5/1
13.
Mr. Dulin runs 5 miles in 42 minutes.  He plans to run in a 25 mile race.  Based on his current speed, about how long will it take him to complete the race?
a)
210 minutes
b)
8.4 minutes
c)
1050 minutes
d)
200 minutes
14.
iTunes sells 9 songs for $8.85.  Claire wants to buy Bruno Mars’ new album which cost $14.75.  How many songs are on Bruno Mars’ new album?
a)
13 songs
b)
15 songs
c)
5 songs
d)
20 songs
15.
Last week, Ida bought 8 cartons of raspberries for $7. How many cartons of raspberries can Ida buy this week if she has $21?
a)
24 cartons
b)
2.67 cartons
c)
20 cartons
d)
19 cartons
WaygroundAnswer Key

Unit Rate/Complex Fractions

Total questions: 15

1.
c) 9 cookies per dollar
2.
a) $8 per pound
3.
d) 13/3 houses per hour
4.
a) 5/2 dollars per pound
5.
d) d
6.
d) d
7.
a) 9/40
8.
a) 18
9.
a) 1
10.
b) denominator
11.
a) numerator
12.
c) 5/5
13.
a) 210 minutes
14.
b) 15 songs
15.
a) 24 cartons

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FAQs

What does the Unit Rate/Complex Fractions worksheet cover?

This Grade 7 pre-algebra worksheet uses 15 multiple-choice questions to practice calculating unit rates, simplifying complex fractions, identifying numerator and denominator vocabulary, recognizing equivalent fractions, and solving rate-based word problems. Students build skill by moving from interpreting fractional quantities to applying rates in purchase, distance, and budget situations.

How can I use this worksheet to teach unit rates and complex fractions?

Introduce unit rates by modeling how to divide a total quantity by its corresponding cost, weight, time, or distance, while keeping the requested units visible. Then use the complex-fraction items to review numerator, denominator, and simplification before assigning the multiple-choice questions; have students explain why an answer such as dollars per pound differs from pounds per dollar.

What mistakes should I watch for on this unit rate and complex fractions worksheet?

Students may reverse the requested unit rate, such as giving pounds per dollar when the question asks for dollars per pound, or choose a value before dividing the two quantities. They may also confuse numerator and denominator, fail to simplify a complex fraction fully, or select a proportional answer without checking whether it matches the word problem's units.

How do I assign and grade this Unit Rate/Complex Fractions worksheet?

On Wayground, you can use this worksheet as a printable PDF or assign it as a digital quiz. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format also gives schools an option for reducing screen time.

How can I differentiate this unit rate and complex fractions worksheet for my students?

Use the worksheet's Advanced Settings to adjust font spacing and font size so the multiple-choice rate and fraction items are easier to read and annotate. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support access to the mathematical directions and answer choices.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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