Wayground
Operations of Fractions - Printable Mathematics Worksheets year 7 - Wayground

Operations of Fractions

20 questions

7th - 7th Grade

Mathematics

Operations of Fractions is a Grade 7 mathematics worksheet that builds fluency with adding and subtracting fractions, multiplying and dividing fractions, and simplifying answers to lowest terms. Students identify when common denominators are required, choose correct first steps, evaluate fraction expressions, detect an incorrect addition method, and apply fraction operations in everyday word problems. The 20-question set uses 14 multiple-choice questions, 5 fill-in-the-blank items, and 1 multiple-select question. It checks both procedural understanding and error analysis, including whether students can distinguish the denominator rules for addition and subtraction from those for multiplication and division. This free printable worksheet includes a complete answer key for independent practice, classwork, homework, or targeted review.

Worksheet settings

Font size

S
M
L
XL
Worksheets

Operations of Fractions

Total questions: 20

Name
Class
Date
1.

What must you do first in order to add or subtract fractions with unlike denominators?

a)

add the numerators

b)

add the denominators

c)

find a common denominator

d)

find a common numerator

2.



(a)  

3.



(a)  

4.



(a)  

5.



(a)  

6.



(a)  

7.
What is the product of these fractions in lowest terms?
a)
20/50
b)

4/5

c)
2/5
d)

4/10

8.

Which operations with fractions REQUIRE common denominators. Select 2 answers

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

e)

None of the 4 basic operations

9.

Evaluate to its lowest term 616+916\frac{6}{16}+\frac{9}{16}  

a)

1316\frac{13}{16}  

b)

1532\frac{15}{32}  

c)

1516\frac{15}{16}  

d)
1
10.

What is the first step in solving the problem 45+12\frac{4}{5}+\frac{1}{2}  

a)

Add the numerators (top parts of the fractions).

b)

Rewrite the fractions in the simplest form. 

c)

Rewrite the fractions with a common denominator. 

d)

Make each fraction into an improper faction. 

11.

Evaluate to its lowest terms 78−12\frac{7}{8}-\frac{1}{2}  

a)

38\frac{3}{8}  

b)

810\frac{8}{10}  

c)

45\frac{4}{5}  

d)

12\frac{1}{2}  

12.

Evaluate to its lowest terms 38⋅23\frac{3}{8}\cdot\frac{2}{3}  

a)
1/4
b)
9/16
c)
5/11
d)
6/24
13.
1/2 x 3/4 (simplify if needed)
a)
3/8
b)
3/4
c)
4/6
d)
3/2
14.
4/9  ÷  1/2
a)
8/9
b)
5/11
c)
6/10
d)
4/18
15.
a)
5/6
b)
3/15
c)
3/8
d)
2/15
16.
Is this a correct answer?
a)
Yes, the student correctly added.
b)
No, you cannot add unlike denominators
c)
No, 5 + 7 is not 12
d)
No, 2 + 3 is not 5
17.

15÷34\frac{1}{5}\div\frac{3}{4}  

a)

23\frac{2}{3}  

b)

415\frac{4}{15}  

c)

320\frac{3}{20}  

d)

45\frac{4}{5}  

18.
What is the sum of these fractions in lowest terms?
a)
5/12
b)
5/24
c)
6/12
d)
6/144
19.
While making desserts for a bake sale, Lyla used 7/10 of a scoop of brown sugar as well as 1/2 of a scoop of white sugar. How much more brown sugar did Lyla use?
a)
1 1/2
b)
2/3
c)
1/5 
d)
3/4
20.
It took Earl ½ hour to do his science homework and ⅓ hour to do his math homework.  How long did Earl work on homework?
a)
⅖ hour
b)
⅙ hour
c)
⅚ hour
d)
⅕ hour
Answer Key

Operations of Fractions

Total questions: 20

1.
c)

find a common denominator

2.
11/12
3.
1/21
4.
2/15
5.
27/121
6.
2/7
7.
c) 2/5
8.
a)

Addition

, b)

Subtraction

9.
c)

1516\frac{15}{16}  

10.
c)

Rewrite the fractions with a common denominator. 

11.
a)

38\frac{3}{8}  

12.
a) 1/4
13.
a) 3/8
14.
a) 8/9
15.
d) 2/15
16.
b) No, you cannot add unlike denominators
17.
b)

415\frac{4}{15}  

18.
a) 5/12
19.
c) 1/5 
20.
c) ⅚ hour

Browse by subjects

Browse by grades

Browse by format

FAQs

What does this Operations of Fractions worksheet help students practice?

This Grade 7 worksheet gives students practice adding and subtracting fractions with unlike denominators, multiplying and dividing fractions, and writing answers in lowest terms. Its 20 items include multiple-choice, fill-in-the-blank, and multiple-select questions that ask students to identify common-denominator steps, evaluate fraction expressions, recognize an invalid addition method, and solve fraction word problems.

How can I use this worksheet to teach fraction operations?

Begin by modeling the decision students must make before calculating: addition and subtraction require a common denominator, while multiplication and division use different procedures. Work through one representative item by having students explain the first step, then use the worksheet’s error-analysis question and word problems to discuss why an answer is or is not valid before students complete the remaining fraction calculations.

What mistakes should I watch for when students complete this fractions worksheet?

Watch for students adding or subtracting numerators while leaving unlike denominators unchanged, since several items require rewriting fractions with a common denominator first. Students may also confuse the rules for addition and subtraction with multiplication and division, fail to simplify products or quotients to lowest terms, or select a numerically equivalent but unsimplified fraction.

How do I assign and grade this Operations of Fractions worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for all 20 questions. For printable submissions, scan student work with the Wayground for Teachers app to support grading and review.

How can I differentiate this fraction operations worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the fraction expressions, answer choices, and fill-in-the-blank items are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when that supports access to the fraction-operation directions and word problems.

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.

© 2026 Wayground Inc.

Accessibility and Inclusion