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Addition and Subtraction of Mixed Numbers (Topic 8) - Printable Math Worksheets 5th Grade - Wayground

Addition and Subtraction of Mixed Numbers (Topic 8)

Carly Lowry

Created by Carly Lowry

11 questions

5th Grade

Math

Updated Feb 2026

Addition and Subtraction of Mixed Numbers (Topic 8) is a Grade 5 mathematics worksheet with 11 multiple-choice questions. Students estimate sums, convert between mixed numbers and improper fractions, identify addition and subtraction equations represented by models, and determine equivalent fractions. They also solve mixed-number addition and subtraction in measurement, perimeter, construction, and recipe contexts, including answers in simplest form. This worksheet helps students connect visual models, fraction representations, equations, and real-world applications rather than relying on a single computation method. It is useful for guided practice, independent review, or a formative check of mixed-number fluency. The worksheet is available as a free printable worksheet with a complete answer key, making it practical for classroom instruction, homework, or intervention.

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Addition and Subtraction of Mixed Numbers (Topic 8)

Total questions: 11

Name
Class
Date
1.

Find the best estimate for 

4 512\frac{5}{12}   ++   3 56\frac{5}{6}  

a)

4 + 4

b)

5 + 4

c)

5 + 3

d)

4 + 3

2.

What is 154\frac{15}{4}  written as a mixed number?

a)

3 34\frac{3}{4}  

b)

3 54\frac{5}{4}  

c)

4 14\frac{1}{4}  

d)

4

3.
Which equation is represented by this subtraction model?

Which equation is represented by this subtraction model?

a)

4 16\frac{1}{6} −- 2 56\frac{5}{6}

b)

4 −- 2 46\frac{4}{6}

c)

3 46\frac{4}{6} −- 2 46\frac{4}{6}

4.
Which equation matches the model?

Which equation matches the model?

a)

1 35\frac{3}{5} ++ 4 112\frac{1}{12} = X

b)

1 \frac{3}{5} −- 4 \frac{1}{12} = X

c)

X ++ 4 112\frac{1}{12} = 1 35\frac{3}{5}

5.
Question Image
a)

4 25\frac{2}{5}

b)

3 45\frac{4}{5}

c)

75\frac{7}{5}

d)

4 45\frac{4}{5}

6.

6 58\frac{5}{8}  is equal to which of the following improper fractions?

a)

 538\frac{53}{8}  

b)

 458\frac{45}{8}  

c)

 708\frac{70}{8}  

d)

 85\frac{8}{5}  

7.

Which of the following improper fractions is NOT equivalent to  125\frac{12}{5}  ?

a)

 4820\frac{48}{20}  

b)

 2410\frac{24}{10}  

c)

 3615\frac{36}{15}  

d)

 6020\frac{60}{20}  

8.

Mason needs 2 12\frac{1}{2}  bags of cement to make concrete. He already has 1 34\frac{3}{4}  bags. How many more bags of cement does he need?

a)

 34\frac{3}{4}  

b)

 18\frac{1}{8}  

c)

 12\frac{1}{2}  

d)

 14\frac{1}{4}  

9.
Perimeter is found by adding all the side lengths of a shape. If all sides of this equilateral triangle are the same length,…

Perimeter is found by adding all the side lengths of a shape. If all sides of this equilateral triangle are the same length, what is the perimeter of this triangle?

a)

7 12\frac{1}{2} yards

b)

6 yards

c)

6 12\frac{1}{2} yards

d)

7 yards

10.

A recipe calls for 6 512\frac{5}{12}  cups of red peppers and 3 1112\frac{11}{12}  cups of green peppers. How many cups of red and green peppers are needed for the recipe in all? (Answer in simplest form)

a)

10  13\frac{1}{3}  cups

b)

2  12\frac{1}{2}  cups

c)

10  712\frac{7}{12}  cups

d)

9  16\frac{1}{6}  cups

11.

5  −-   2  38\frac{3}{8}  

a)

2 58\frac{5}{8}  

b)

3

c)

3 18\frac{1}{8}  

d)

2 38\frac{3}{8}  

WaygroundAnswer Key

Addition and Subtraction of Mixed Numbers (Topic 8)

Total questions: 11

1.
a)

4 + 4

2.
a)

3 34\frac{3}{4}  

3.
a)

4 16\frac{1}{6} −- 2 56\frac{5}{6}

4.
a)

1 35\frac{3}{5} ++ 4 112\frac{1}{12} = X

5.
a)

4 25\frac{2}{5}

6.
a)

 538\frac{53}{8}  

7.
d)

 6020\frac{60}{20}  

8.
a)

 34\frac{3}{4}  

9.
a)

7 12\frac{1}{2} yards

10.
a)

10  13\frac{1}{3}  cups

11.
a)

2 58\frac{5}{8}  

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FAQs

What does this worksheet cover?

This Grade 5 worksheet covers adding and subtracting mixed numbers through 11 multiple-choice questions. Students estimate sums, convert mixed numbers and improper fractions, match visual models to equations, identify equivalent fractions, and solve application problems involving cement, perimeter, and recipe measurements.

How can I use this worksheet to teach adding and subtracting mixed numbers?

Use the estimation and fraction-conversion questions first to review how mixed numbers and improper fractions represent the same value. Then have students explain how the subtraction models determine the matching equations before applying those ideas to the cement, perimeter, and recipe problems. Ask students to justify why an answer is reasonable, especially when regrouping or simplifying is required.

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

Watch for students reversing the whole-number and fractional parts when converting an improper fraction, such as treating 15/4 as 4 1/4 instead of 3 3/4. Students may also select an equation that reverses the minuend and subtrahend in a model, overlook regrouping when subtracting from a whole number, or fail to simplify the final fraction in the recipe problem. In the equivalence question, check that they compare values rather than assuming every fraction with similar-looking numbers is equivalent.

How do I assign and grade this worksheet?

You can assign this mixed-number worksheet as a printable PDF or as a digital quiz on Wayground. It includes a complete answer key for checking the 11 multiple-choice questions, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format is also useful when your class is reducing screen time.

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

In the worksheet’s Advanced Settings, adjust font spacing or increase the font size so the mixed-number expressions, answer choices, and model-based equations are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the same multiple-choice practice on fraction conversions and mixed-number operations.

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 essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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