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Adding mixed number fractions with models - Printable Math Worksheets class 4 - Wayground

Adding mixed number fractions with models

15 questions

4th - 5th Grade

Math

Updated Feb 2026

Adding Mixed Number Fractions with Models is a free printable mathematics worksheet for students in Grades 4–5. It develops the skills needed to add fractions and mixed numbers with unlike denominators by finding common denominators, identifying least common denominators, recognizing improper fractions, and converting improper fractions to mixed numbers. Students complete 15 questions: 13 multiple-choice items, one fill-in-the-blank item, and one multiple-select item. The worksheet moves from foundational fraction concepts and least-common-denominator practice to fraction addition, simplification, and real-world word problems involving weights, distances, and quantities. It gives teachers a focused way to check whether students can apply denominator and mixed-number strategies beyond isolated computations. This free printable worksheet includes a complete answer key for efficient review, independent practice, homework, or targeted assessment.

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Adding mixed number fractions with models

Total questions: 15

Name
Class
Date
1.
Question Image
a)
2   5/8
b)
1   5/8
c)
1   3/8
d)
2   3/8
2.
Question Image



(a)  

3.
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
4.

In order for a fraction to be greater than 1, the...

a)

numerator should be smaller than the denominator

b)

numerator and denominator should be the same

c)

denominator should be bigger than the numerator

d)

numerator should be bigger than the denominator

5.

Convert  259\frac{25}{9}  to a Mixed Number.

a)

2 5/9

b)

2 7/9

c)

7 2/9

d)

5 2/9

6.

What is the least common denominator for

13 and 46\frac{1}{3}\ and\ \frac{4}{6}  

a)

3

b)

6

c)

12

d)

18

7.

What is the least common denominator for

610 and 26\frac{6}{10}\ and\ \frac{2}{6}  

a)

20

b)

30

c)

60

d)

120

8.

What is the least common denominator for

38 and 16\frac{3}{8}\ and\ \frac{1}{6}  

a)

16

b)

24

c)

36

d)

48

9.

Select all that could be common denominators for:

35and 34\frac{3}{5}and\ \frac{3}{4}  

a)

10

b)

20

c)

30

d)

40

10.

3 18\frac{1}{8} + 5 28\frac{2}{8} =

a)

8 38\frac{3}{8}

b)

9 38\frac{3}{8}

c)

8 316\frac{3}{16}

d)

8 48\frac{4}{8}

11.
Add the fractions. Simplify if needed.

Add the fractions. Simplify if needed.

a)

1315\frac{13}{15}

b)

1 7121\ \frac{7}{12}

c)

1

d)

915\frac{9}{15}

12.

9 12\frac{1}{2} + 7 34\frac{3}{4}

a)

17

b)

16 12\frac{1}{2}

c)

17 14\frac{1}{4}

d)

16 46\frac{4}{6}

13.
When Leila first weighed her kitten, it weighed 4  1/2 pounds. The next time Leila weighed her kitten, it had gained 2  1/4 pounds. How much did the kitten weigh?
a)
7    3/4 pounds
b)
6   3/4 pounds
c)
6    1/3 pounds
d)
2   1/4 pounds
14.
Mariah drove 5  2/3 miles to a friend’s house and then drove 11  5/6 miles to the park. How many miles did she drive?
a)
16   7/9 miles
b)
16    9/12 miles
c)
17   1/6 miles
d)
17   1/2 miles
15.

The truck driver hauled 2 different loads of wood to the building site. The first load weighed 2 58\frac{5}{8}  tons and the second load weighed 1 13\frac{1}{3}  tons. How much did he deliver on both loads?

a)

1 724\frac{7}{24}  tons

b)

3 611\frac{6}{11}  tons

c)

1 45\frac{4}{5}  tons

d)

3 2324\frac{23}{24}  tons

WaygroundAnswer Key

Adding mixed number fractions with models

Total questions: 15

1.
b) 1   5/8
2.
8
3.
c) find a common denominator
4.
d)

numerator should be bigger than the denominator

5.
b)

2 7/9

6.
b)

6

7.
b)

30

8.
b)

24

9.
b)

20

, d)

40

10.
a)

8 38\frac{3}{8}

11.
b)

1 7121\ \frac{7}{12}

12.
c)

17 14\frac{1}{4}

13.
b) 6   3/4 pounds
14.
d) 17   1/2 miles
15.
d)

3 2324\frac{23}{24}  tons

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FAQs

What does this worksheet cover, and how does it help students add mixed numbers?

This 15-question worksheet practices adding fractions and mixed numbers with unlike denominators. Its multiple-choice, fill-in-the-blank, and multiple-select items guide students through finding least common denominators, recognizing improper fractions, converting them to mixed numbers, simplifying results, and applying addition to weight and distance word problems.

How can I use this worksheet to teach adding mixed numbers with unlike denominators?

Use the early items to review why fractions need a common denominator and to practice identifying least common denominators before students attempt the addition problems. Then have students explain how they converted improper fractions and simplified their answers, and finish with the kitten, driving, and wood-load word problems to connect the calculations to real situations.

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

Watch for students adding denominators instead of finding a common denominator, choosing a common denominator that is not the least common one, or treating a numerator and denominator interchangeably when converting an improper fraction such as 25/9. Students may also fail to simplify the final sum, mishandle the regrouping between whole numbers and fractional parts, or select only one valid common denominator on the multiple-select item.

How do I assign and grade this worksheet?

This mixed-number fractions worksheet is available as a printable PDF and as a digital quiz on Wayground, so you can assign the format that fits your lesson. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app.

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

Use the worksheet’s Advanced Settings to adjust font spacing or font size so the fraction computations, answer choices, and word problems have the right amount of visual space. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the focus on finding common denominators and adding mixed numbers.

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

Wayground offers a broad 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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