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Improper Fractions Number Lines - Printable Math Worksheets 3rd Grade - Wayground

Improper Fractions Number Lines

Anthony Clark

Created by Anthony Clark

18 questions

3rd Grade

Math

This Grade 3 mathematics worksheet helps students read and interpret fractions on number lines, with an emphasis on improper fractions and mixed numbers. Across 18 items, students identify fractions at labeled points and arrows, recognize equivalent fractions such as 3/4 and 6/8, compare fractions represented at the same location, and connect improper fractions with mixed-number representations. The worksheet includes 16 multiple-choice questions, one open-ended explanation, and one fill-in-the-blank conversion item. Students apply number-line models to identify values such as 1 2/5 and 2 1/4, explain how they know an arrow represents a particular improper fraction, and rewrite 2 3/5 as 13/5. It is a free printable worksheet with a complete answer key, making it useful for guided practice, independent work, or a focused Grade 3 mathematics check.

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Improper Fractions Number Lines

Total questions: 18

Name
Class
Date
1.
Based on the number lines, it can be seen that

Based on the number lines, it can be seen that

a)

6/6 is greater than 2/2 because 6 is greater than 2.

b)

2/2 is greater than 6/6 because each section is larger in 2/2

c)

2/2 and 6/6 are equivalent because they represent the same place on the number line

d)

6/6 is greater than 2/2 because it is divided into 6 sections instead of 2

2.
Look at the number lines. Which comparison is true?

Look at the number lines. Which comparison is true?

a)
Look at the number lines. Which comparison is true?

b)
Look at the number lines. Which comparison is true?

c)
Look at the number lines. Which comparison is true?

d)
Look at the number lines. Which comparison is true?

3.
Which fraction is equivalent to 3/4?

Which fraction is equivalent to 3/4?

a)
Which fraction is equivalent to 3/4?

b)
Which fraction is equivalent to 3/4?

c)
Which fraction is equivalent to 3/4?

d)
Which fraction is equivalent to 3/4?

4.
Use the number line to find one equivalent fraction for 3/4.

Use the number line to find one equivalent fraction for 3/4.

a)

7/8

b)

6/8

c)

13/16

d)

2/8

5.
What fraction does point G represent?

What fraction does point G represent?

a)

38\frac{3}{8}  

b)

88\frac{8}{8}  

c)

36\frac{3}{6}  

d)

48\frac{4}{8}  

6.
Which point is 7/8?

Which point is 7/8?

a)

Point C

b)

Point D

c)

Point E

d)

Point F

7.
Which improper fraction does the arrow represent on the number line?

Which improper fraction does the arrow represent on the number line?

a)

1 1/4

b)

2 1/2

c)

1 2/5

d)

1/5

8.
What fraction is represented at point A?

What fraction is represented at point A?

a)

4/5

b)

3/1

c)

3/4

d)

1/3

9.
Question Image
a)
b)
c)
d)
10.
Question Image
a)

1/2

b)

5/8

c)

6/8

d)

7/8

11.
Question Image
a)

1/4

b)

1/3

c)

2/7

d)

1/7

12.
Which improper fraction represents the arrow on the number line? How do you know?

Which improper fraction represents the arrow on the number line? How do you know?

4 lines
13.
The arrow best represents the fraction...

The arrow best represents the fraction...

a)

1 1/2

b)

1/2

c)

3/4

d)

2 4/5

14.
Use the number line to find one equivalent fraction for 3/4.

Use the number line to find one equivalent fraction for 3/4.

a)

7/8

b)

6/8

c)

13/16

d)

2/8

15.
Which mixed number represents the arrow on the number line?

Which mixed number represents the arrow on the number line?

a)

1 1/4

b)

1 1/2

c)

6/10

d)

4/4

16.
Which mixed number represents the arrow on the number line?

Which mixed number represents the arrow on the number line?

a)

2 1/4

b)

2 1/2

c)

1 1/2

d)

5/2

17.
Which mixed number represents where the shading ends on the number line?

Which mixed number represents where the shading ends on the number line?

a)

1 6/7

b)

1 5/6

c)

1 3/7

d)

1 1/6

18.

Write the mixed number as an improper fraction

2 3/5

(a)  

WaygroundAnswer Key

Improper Fractions Number Lines

Total questions: 18

1.
c)

2/2 and 6/6 are equivalent because they represent the same place on the number line

2.
b)
3.
c)
4.
b)

6/8

5.
a)

38\frac{3}{8}  

6.
d)

Point F

7.
c)

1 2/5

8.
c)

3/4

9.
b)
10.
c)

6/8

11.
b)

1/3

12.
n/a
13.
a)

1 1/2

14.
b)

6/8

15.
a)

1 1/4

16.
a)

2 1/4

17.
a)

1 6/7

18.
13/5

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FAQs

What does the Improper Fractions Number Lines worksheet cover?

This Grade 3 worksheet uses 18 items—mostly multiple choice, plus an open-ended explanation and a fill-in-the-blank conversion—to build fluency reading fractions on number lines. Students identify values at points and arrows, recognize equivalent fractions such as 3/4 and 6/8, interpret improper fractions and mixed numbers, and convert 2 3/5 to 13/5.

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

First model how the partitions on a number line show equal fractional parts and how a point or arrow can represent a value greater than one. Then have students solve the identification and equivalent-fraction multiple-choice items while explaining the whole-number and fractional parts they see. Use the open-ended arrow question as a discussion prompt before the final item, which asks students to convert a mixed number to an improper fraction.

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

Watch for students choosing a fraction because its numerator or denominator is larger rather than because it marks the correct location on the number line; for example, 2/2 and 6/6 represent the same point. Students may also confuse the whole-number part of a mixed number with its fractional part, misread the number of equal partitions, or select an equivalent fraction other than 6/8 for 3/4. In the conversion item, check that they combine the wholes and fractional parts correctly to get 13/5.

How do I assign and grade this worksheet?

This Improper Fractions Number Lines worksheet is available as a printable PDF and as a digital quiz on Wayground. It includes a complete answer key for the multiple-choice, open-ended, and fill-in-the-blank items, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format also supports schools that want to reduce screen time.

How does this worksheet help students connect mixed numbers and improper fractions?

The number-line arrows and shaded endpoints show how values greater than one can be written as mixed numbers, such as 1 1/4 or 2 1/4, while the final fill-in-the-blank item asks students to write 2 3/5 as 13/5. This pairing helps students connect the visual location of a value with its two equivalent forms and explain the relationship rather than memorizing an isolated conversion rule.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad 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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