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Operations with Mixed Numbers - Printable Mathematics Worksheets - Wayground

Operations with Mixed Numbers

16 questions

9th - 9th Grade

Mathematics

Operations with Mixed Numbers is a free printable Grade 9 mathematics worksheet that helps students compute with mixed numbers and express results in simplest form. Across 16 questions, students complete 7 written-response problems and 9 multiple-choice items involving subtraction, multiplication, evaluating mixed-number expressions, and applying operations to fraction-based word problems. The worksheet emphasizes accurate calculation, reducing answers when needed, and writing results in an appropriate mixed-number or fraction form. Contextual questions about quantities, growth, and portions of a menu give students opportunities to apply mixed-number operations beyond isolated computations. Use it for independent practice, homework, review, or a quick check of procedural fluency. A complete answer key is included, making this free worksheet practical for both instruction and assessment.

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Worksheets

Operations with Mixed Numbers

Total questions: 16

Name
Class
Date
1.

Find the difference of: 7 14−2 237\ \frac{1}{4}-2\ \frac{2}{3}  

2.

What is the difference: 9 12−4 139\ \frac{1}{2}-4\ \frac{1}{3}  


a)

4 234\ \frac{2}{3}  

b)

3 453\ \frac{4}{5}  

c)

5 275\ \frac{2}{7}  

d)

5 165\ \frac{1}{6}  

3.

5 23+3 145\ \frac{2}{3}+3\ \frac{1}{4}  

4.

2 12 ÷1 132\ \frac{1}{2\ }\div1\ \frac{1}{3}  

Simplify your answer as much as possible...
Write your answer as a mixed number...

5.

3 25⋅1 143\ \frac{2}{5}\cdot1\ \frac{1}{4}  

Multiply and simplify.

6.

1 23÷2 151\ \frac{2}{3}\div2\ \frac{1}{5}  

Simplify your answer as much as possible...

7.

3 −1253\ -1\frac{2}{5}  

a)

85\frac{8}{5}  

b)

1351\frac{3}{5}  

c)

2452\frac{4}{5}  

d)

2252\frac{2}{5}  

8.

2910 +6 13=2\frac{9}{10}\ +6\ \frac{1}{3}=  

9.

6 24 −2 25=6\ \frac{2}{4\ }-2\ \frac{2}{5}=  
Reduce if needed.

a)

5 275\ \frac{2}{7}  

b)

4 2204\ \frac{2}{20}  

c)

6 126\ \frac{1}{2}  

d)

4 1104\ \frac{1}{10}  

10.


3 58 +6 12 =3\ \frac{5}{8}\ +6\ \frac{1}{2}\ =  

Answer in simplest form.

11.


12 14 − 5 23 =12\ \frac{1}{4}\ -\ 5\ \frac{2}{3}\ =  

Answer in simplest form. 

a)

7 7127\ \frac{7}{12}  

b)

6 7126\ \frac{7}{12}  

c)

7 127\ \frac{1}{2}  

d)

7 377\ \frac{3}{7}  

12.

What is the value of −12 + 2 34 + (−14)-\frac{1}{2}\ +\ 2\ \frac{3}{4}\ +\ \left(-\frac{1}{4}\right) ?

a)

2142\frac{1}{4}

b)

24102\frac{4}{10}

c)

2

d)

3123\frac{1}{2}

13.

What is the value of −4(114 ÷ 212)-4\left(1\frac{1}{4}\ \div\ 2\frac{1}{2}\right)

a)

−1212-12\frac{1}{2}

b)

−2-2

c)

22

d)

−814-8\frac{1}{4}

14.

There are 4 134\ \frac{1}{3} gallons of water in Luca's fish tank. If Luca adds 7 127\ \frac{1}{2} gallons more, how many gallons will there be in all?

a)

3 163\ \frac{1}{6}

b)

11 5611\ \frac{5}{6}

c)

32 1232\ \frac{1}{2}

d)

2645\frac{26}{45}

15.

Last year, Jeffrey grew 4 384\ \frac{3}{8} inches and his brother grew 2 282\ \frac{2}{8} inches. How much more did Jeffrey grow than his brother?

a)

9 27329\ \frac{27}{32}

b)

6 586\ \frac{5}{8}

c)

2 182\ \frac{1}{8}

d)

1 17181\ \frac{17}{18}

16.

At Judy's Restaurant, 45\frac{4}{5} of the dishes on the menu are vegetarian. Of the vegetarian dishes, 12\frac{1}{2} are pasta dishes. What fraction of the dishes on the menu are vegetarian pasta dishes?

a)

1 3101\ \frac{3}{10}

b)

1 351\ \frac{3}{5}

c)

310\frac{3}{10}

d)

25\frac{2}{5}

Answer Key

Operations with Mixed Numbers

Total questions: 16

1.

47124\frac{7}{12}

2.
d)

5 165\ \frac{1}{6}  

3.

811128\frac{11}{12}

4.

1781\frac{7}{8}

5.

4144\frac{1}{4}

6.

2533\frac{25}{33}

7.
b)

1351\frac{3}{5}  

8.

97309\frac{7}{30}

9.
d)

4 1104\ \frac{1}{10}  

10.

101810\frac{1}{8}

11.
b)

6 7126\ \frac{7}{12}  

12.
c)

2

13.
b)

−2-2

14.
b)

11 5611\ \frac{5}{6}

15.
c)

2 182\ \frac{1}{8}

16.
d)

25\frac{2}{5}

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FAQs

What does the Operations with Mixed Numbers worksheet cover?

This Grade 9 worksheet covers computing with mixed numbers, including subtraction, multiplication, evaluating expressions, and applying operations in fraction-based word problems. Its 16 items combine 7 math-response questions with 9 multiple-choice questions, requiring students to reduce answers and write them in simplest form or as mixed numbers when appropriate.

How can I use this worksheet to teach operations with mixed numbers?

Begin by modeling how to align the whole-number and fractional parts, calculate the operation, and reduce the result to simplest form. Then have students complete the written-response items while explaining each step, followed by the multiple-choice questions as independent practice. Use the word problems about quantities, growth, and menu portions to discuss how students identify the operation before calculating.

What mistakes should I watch for when students complete this mixed-numbers worksheet?

Watch for students who operate on the whole-number and fractional parts without regrouping when subtraction requires it, or who multiply mixed numbers without converting them correctly. Students may also leave an answer unreduced, report an improper fraction when a mixed number is requested, or choose an operation incorrectly in the quantity and comparison word problems. Check that they simplify fraction-of-a-fraction results as well.

How do I assign and grade the Operations with Mixed Numbers worksheet?

On Wayground, you can assign this worksheet as a printable PDF or as a digital quiz. It includes a complete answer key for checking the 7 written-response and 9 multiple-choice items, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable version can also support instruction when your school is reducing screen time.

How can I differentiate this mixed-numbers worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the calculation steps and answer choices have more visual room. You can also enable a dyslexia-friendly font for the mixed-number problems and translate the worksheet into another language when language support is needed. These changes apply to the worksheet file while preserving its written-response and multiple-choice format.

Where can I find more worksheets like this on Wayground?

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

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