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(7th) Lesson 4.10 - Order of Operations w/ Fractions, etc. - Printable Mathematics Worksheets - Wayground

(7th) Lesson 4.10 - Order of Operations w/ Fractions, etc.

20 questions

7th - 7th Grade

Mathematics

The “(7th) Lesson 4.10 - Order of Operations w/ Fractions, etc.” worksheet helps Grade 7 students evaluate numerical expressions that combine fractions, mixed numbers, whole numbers, parentheses, and multiple operations. Students first identify the correct operation sequence, then apply that sequence to simplify expressions involving addition, subtraction, multiplication, and division with fractions. This Mathematics worksheet includes 20 questions: 4 multiple-choice items about identifying operation order and 16 fill-in-the-blank problems requiring students to calculate and simplify exact answers. It is a free printable worksheet with an answer key, making it useful for guided practice, independent work, homework, or a quick check of students’ fluency with order of operations and fraction computation.

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(7th) Lesson 4.10 - Order of Operations w/ Fractions, etc.

Total questions: 20

Name
Class
Date
1.

Write the correct order in which to perform the operations in the problem:

 34+516+89⋅34\frac{3}{4}+\frac{5}{16}+\frac{8}{9}\cdot\frac{3}{4}  

a)

divide, multiply, add

b)

multiply, add, divide

c)

divide, add, multiply

d)

add, multiply, divide

2.

Write the correct order in which to perform the operations in the problem:

 910+510÷1 12−13\frac{9}{10}+\frac{5}{10}\div1\ \frac{1}{2}-\frac{1}{3}  

a)

divide, subtract, add

b)

subtract, add, divide

c)

divide, add, subtract

d)

add, subtract, divide

3.

Write the correct order in which to perform the operations in the problem:

 1 35÷(2 34−58)+14151\ \frac{3}{5}\div\left(2\ \frac{3}{4}-\frac{5}{8}\right)+\frac{14}{15}  

a)

divide, subtract, add

b)

subtract, add, divide

c)

divide, add, subtract

d)

add, subtract, divide

4.

Write the correct order in which to perform the operations in the problem:

 5 13−2 34÷(4⋅13)5\ \frac{1}{3}-2\ \frac{3}{4}\div\left(4\cdot\frac{1}{3}\right)  

a)

divide, subtract, multiply

b)

subtract, multiply, divide

c)

divide, multiply, subtract

d)

multiply, divide, subtract

5.

Perform the operations shown in the problem (Simplify if possible!):

 1 34−14⋅45=?1\ \frac{3}{4}-\frac{1}{4}\cdot\frac{4}{5}=?  



(a)  

6.

Perform the operations shown in the problem (Simplify if possible!):

 2 45−1 310+6 715=?2\ \frac{4}{5}-1\ \frac{3}{10}+6\ \frac{7}{15}=?  



(a)  

7.

Perform the operations shown in the problem (Simplify if possible!):

 (23+1 16)÷3 12=?\left(\frac{2}{3}+1\ \frac{1}{6}\right)\div3\ \frac{1}{2}=?  



(a)  

8.

Perform the operations shown in the problem (Simplify if possible!):

 (4÷811)−(1 78−56)=?\left(4\div\frac{8}{11}\right)-\left(1\ \frac{7}{8}-\frac{5}{6}\right)=?  



(a)  

9.

Perform the operations shown in the problem (Simplify if possible!):

 4 12÷(3 59⋅1 14)=?4\ \frac{1}{2}\div\left(3\ \frac{5}{9}\cdot1\ \frac{1}{4}\right)=?  



(a)  

10.

Perform the operations shown in the problem (Simplify if possible!):

 (4 23÷8)÷14=?\left(4\ \frac{2}{3}\div8\right)\div14=?  



(a)  

11.

Perform the operations shown in the problem (Simplify if possible!):

 59÷1011+3 56=?\frac{5}{9}\div\frac{10}{11}+3\ \frac{5}{6}=?  



(a)  

12.

Perform the operations shown in the problem (Simplify if possible!):

 9 14+512⋅2=?9\ \frac{1}{4}+\frac{5}{12}\cdot2=?  



(a)  

13.

Perform the operations shown in the problem (Simplify if possible!):

 (35+1115)⋅(2−23)=?\left(\frac{3}{5}+\frac{11}{15}\right)\cdot\left(2-\frac{2}{3}\right)=?  



(a)  

14.

Perform the operations shown in the problem (Simplify if possible!):

 8 12+34⋅16−9 1118=?8\ \frac{1}{2}+\frac{3}{4}\cdot16-9\ \frac{11}{18}=?  



(a)  

15.

Perform the operations shown in the problem (Simplify if possible!):

 (9 47−2 1921)÷715=?\left(9\ \frac{4}{7}-2\ \frac{19}{21}\right)\div\frac{7}{15}=?  



(a)  

16.

Perform the operations shown in the problem (Simplify if possible!):

 1 57÷(4÷3 12)=?1\ \frac{5}{7}\div\left(4\div3\ \frac{1}{2}\right)=?  



(a)  

17.

Perform the operations shown in the problem (Simplify if possible!):

 1 12−34+25÷1 35=?1\ \frac{1}{2}-\frac{3}{4}+\frac{2}{5}\div1\ \frac{3}{5}=?  



(a)  

18.

Perform the operations shown in the problem (Simplify if possible!):

 6 47−3÷1415=?6\ \frac{4}{7}-3\div\frac{14}{15}=?  



(a)  

19.

Perform the operations shown in the problem (Simplify if possible!):

 3 79÷3 25+10 13=?3\ \frac{7}{9}\div3\ \frac{2}{5}+10\ \frac{1}{3}=?  



(a)  

20.

Perform the operations shown in the problem (Simplify if possible!):

 1 23÷1 78+3 13⋅1 34=?1\ \frac{2}{3}\div1\ \frac{7}{8}+3\ \frac{1}{3}\cdot1\ \frac{3}{4}=?  



(a)  

WaygroundAnswer Key

(7th) Lesson 4.10 - Order of Operations w/ Fractions, etc.

Total questions: 20

1.
a)

divide, multiply, add

2.
c)

divide, add, subtract

3.
b)

subtract, add, divide

4.
d)

multiply, divide, subtract

5.
1 11/20
6.
7 29/30
7.
11/21
8.
4 11/24
9.
1 1/80
10.
1/24
11.
4 4/9
12.
10 1/12
13.
1 7/9
14.
10 8/9
15.
14 2/7
16.
1 1/2
17.
1
18.
3 5/14
19.
11 4/9
20.
6 13/18

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FAQs

What does this order of operations with fractions worksheet cover?

This Grade 7 worksheet covers evaluating expressions that combine fractions, mixed numbers, whole numbers, parentheses, and multiple operations. Four multiple-choice questions ask students to identify the correct operation sequence, while 16 fill-in-the-blank problems require them to follow that sequence, calculate, and simplify their answers.

How can I use this worksheet to teach order of operations with fractions?

Begin with the four multiple-choice items to have students explain why parentheses are handled first and why multiplication or division comes before addition or subtraction. Then model one fill-in-the-blank expression with mixed numbers, prompting students to convert or simplify carefully at each step before assigning the remaining expressions for guided or independent practice.

What mistakes should I watch for when students complete these fraction expressions?

Watch for students adding or subtracting before completing multiplication or division, especially in expressions such as a mixed number plus a fraction product. Students may also overlook parentheses, confuse division by a fraction with multiplication by its reciprocal, or leave answers unsimplified after correctly following the operation order.

How do I assign and grade this worksheet?

This worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for checking the four operation-order responses and 16 calculated answers. Printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to increase font size or adjust font spacing so the multi-step fraction expressions and fill-in-the-blank work areas are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those options support access to the expressions and directions.

Where can I find more free worksheets like this on Wayground?

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

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