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Proper & Improper Fractions - Printable Mathematics Worksheets - Wayground

Proper & Improper Fractions

13 questions

6th - 6th Grade

Mathematics

Proper & Improper Fractions is a Grade 6 mathematics worksheet with 13 questions that builds accuracy with fraction classification and notation. Students identify proper fractions, improper fractions, and fractions representing one whole; distinguish the numerator from the denominator; and select one or more correct answers in multiple-choice and multiple-select items. Fill-in-the-blank questions require students to write fractions in a/b form from visual models. The worksheet also asks students to identify improper fractions represented by models, connect a modeled mixed number to an improper fraction, and apply fraction understanding to a pizza word problem involving 25 tenths and a simplified answer. With 8 multiple-choice questions, 3 fill-in-the-blank questions, and 2 multiple-select questions, it gives Grade 6 learners varied practice with both recognition and representation. This free printable worksheet includes a complete answer key for efficient checking and review.

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Proper & Improper Fractions

Total questions: 13

Name
Class
Date
1.

Classify 35\frac{3}{5} as proper, improper, or a whole.

a)

proper

b)

improper

c)

a whole

d)

None of these

2.

Which of the following fractions are improper?

a)
1/2
b)
2/3
c)
3/2
d)
1/3
3.

In the fraction 74\frac{7}{4} , the 4 is called the __________.

a)

numerator

b)

denominator

c)

whole number

d)

factor

4.
What fraction is represented by the model? Type in your answer in the form of a/b or for example, 1/2

What fraction is represented by the model? Type in your answer in the form of a/b or for example, 1/2

(a)  

5.

Which of the following fractions are improper? (choose all that apply)

a)

712\frac{7}{12}

b)

54\frac{5}{4}

c)

815\frac{8}{15}

d)

95\frac{9}{5}

e)

149\frac{14}{9}

6.
What IMPROPER fraction represents the model? Type your answer in the form of a/b or for example 8/3

What IMPROPER fraction represents the model? Type your answer in the form of a/b or for example 8/3

(a)  

7.

The fraction 34\frac{3}{4} is an improper fraction. T/F

a)

True

b)

False

8.

Which of the following fractions are proper? Choose all that apply.

a)

712\frac{7}{12}

b)

119\frac{11}{9}

c)

915\frac{9}{15}

d)

2122\frac{21}{22}

e)

32\frac{3}{2}

9.
The mixed number modeled represents . Which improper fraction represents this model?

The mixed number modeled represents 2232\frac{2}{3} . Which improper fraction represents this model?

a)

32\frac{3}{2}

b)

62\frac{6}{2}

c)

38\frac{3}{8}

d)

83\frac{8}{3}

10.

Which of the following fractions represent One Whole?

a)
1/2
b)
2/3
c)
3/4
d)

5/5

e)

7/8

11.
Which improper fraction will represent the model shown? Type your answer in the form of a/b or for example 5/4

Which improper fraction will represent the model shown? Type your answer in the form of a/b or for example 5/4

(a)  

12.

In an improper fraction, we know there will always be a _________ number "hiding."

a)

half

b)

whole

c)

chicken

d)

small

13.

Faith had some slices of pizza left over from a party. Each slice was 1/10 of a pizza. Faith found 25 slices were left over. How much pizza was left over? (be sure to simplify the answer)

a)

10/25 pizzas

b)

2 1/2 pizzas

c)

2 1/4 pizzas

d)

1 5/10 pizzas

WaygroundAnswer Key

Proper & Improper Fractions

Total questions: 13

1.
a)

proper

2.
c) 3/2
3.
b)

denominator

4.
5/8
5.
b)

54\frac{5}{4}

, d)

95\frac{9}{5}

, e)

149\frac{14}{9}

6.
12/5
7.
b)

False

8.
a)

712\frac{7}{12}

, c)

915\frac{9}{15}

, d)

2122\frac{21}{22}

9.
d)

83\frac{8}{3}

10.
d)

5/5

11.
7/2
12.
b)

whole

13.
b)

2 1/2 pizzas

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FAQs

What does the Proper & Improper Fractions worksheet cover?

This Grade 6 worksheet develops students’ ability to classify fractions as proper, improper, or a whole and identify the numerator and denominator. Its 13 items use multiple choice, multiple select, and fill-in-the-blank formats, including writing a/b fractions from models, identifying improper fractions that represent modeled mixed numbers, and solving a tenths-based pizza problem.

How can I use this worksheet to teach proper and improper fractions?

Begin by reviewing the numerator, denominator, and the distinctions among proper fractions, improper fractions, and fractions equal to one whole. Use the model-based items to have students explain how they know which fraction is represented, then move to the multiple-select classification questions and the modeled mixed-number item. Finish with the pizza problem to connect an improper fraction to a real quantity and discuss why the answer must be simplified.

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

Watch for students reversing the numerator and denominator when naming the parts of a fraction or classifying it. In the multiple-select items, students may choose only one answer instead of selecting every fraction that fits the category, or confuse a fraction representing one whole with a proper fraction. Check that fill-in responses use the requested a/b form, that improper fractions are identified correctly from the models, and that the pizza answer is simplified.

How do I assign and grade the Proper & Improper Fractions worksheet?

You can assign this Proper & Improper Fractions worksheet on Wayground as a printable PDF or as a digital quiz. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format can also support schools that are reducing screen time.

How can I differentiate this proper and improper fractions worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or font size so the fraction classifications, model prompts, and a/b response areas are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support access to the multiple-choice and fill-in-the-blank items.

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

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