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Comparing Fractions with Models - Printable Mathematics Worksheets year 3 - Wayground

Comparing Fractions with Models

12 questions

3rd - 3rd Grade

Mathematics

Comparing Fractions with Models is a Grade 3 mathematics worksheet that helps students compare fractions, identify equivalent fractions, and connect fraction values to visual models and number lines. Students select comparison symbols, determine which fraction is greater, match equivalent representations such as 2/3 and 4/6, and interpret points shown on number lines. The worksheet also includes a multiple-select item in which students identify fractions equal to one whole. The mix of multiple-choice and multiple-select questions gives students practice applying fraction reasoning in several representations rather than relying on a single procedure. It is useful for introducing or reinforcing comparisons with like and unlike denominators, equivalent fractions, and whole-number fraction representations. This free printable worksheet includes a complete answer key, making it suitable for independent practice, guided instruction, homework, or a quick formative check.

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Comparing Fractions with Models

Total questions: 12

Name
Class
Date
1.
a)
b)
c)
d)
2.

Compare the shaded parts. Which symbol best replaces the blank line?

a)

<

b)

=

c)

>

d)

$

3.

Which comparison about the fractions is true?

a)

1/2 < 6/9

b)

1/2 = 6/9

c)

1/2 > 6/9

d)

1/2 < 6/8

4.

Which comparison is true about the fractions?

a)

1/5 < 3/5

b)

4/5 > 2/5

c)

4/5 = 2/5

d)

1/5 = 3/5

5.

Which fraction is greater?

a)

1/6

b)

5/6

6.

How many sixths is equivalent to 2/3?

a)

2/6

b)

3/6

c)

4/6

d)

6/6

7.

The models are showing which two fractions as being equivalent?

a)

2/2 = 6/6

b)

1/2 = 1/6

c)

1/2 = 6/6

d)

1/2 = 3/6

8.

Which fraction is greater?

a)

1/4

b)

1/2

9.

Look at the number lines to answer this question. How many fourths are equivalent to 2/8?

a)

1/4

b)

2/4

c)

3/4

d)

4/4

10.

Which number line shows a point with a fraction equivalent to 4/2?

a)

A

b)

B

c)

C

11.

What do the number lines show?

a)

2/6 > 2/7

b)

2/6 = 2/7

c)

2/6 < 2/7

d)

2/7 > 2/6

12.

Which fractions are equivalent to one whole?

a)

0/3

b)

2/4

c)

6/6

d)

3/6

e)

8/8

Answer Key

Comparing Fractions with Models

Total questions: 12

1.
a)
2.
a)

<

3.
a)

1/2 < 6/9

4.
b)

4/5 > 2/5

5.
b)

5/6

6.
c)

4/6

7.
d)

1/2 = 3/6

8.
b)

1/2

9.
a)

1/4

10.
c)

C

11.
a)

2/6 > 2/7

12.
c)

6/6

, e)

8/8

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FAQs

What does the Comparing Fractions with Models worksheet cover?

This Grade 3 worksheet uses multiple-choice and multiple-select questions to practise comparing fractions, identifying equivalent fractions, and recognizing fractions equal to one whole. Students use shaded models, fraction relationships, and number lines to compare values such as 1/2 and 6/9, find equivalents such as 2/3 and 4/6, and select representations such as 6/6 and 8/8 that equal one whole.

How can I use this worksheet to teach comparing fractions with models?

Begin by having students explain what each shaded model or number-line point represents before they choose an answer. Then use the comparison and equivalence items to discuss why fractions with the same numerator or denominator may be compared differently, and ask students to justify relationships such as 1/2 = 3/6 and 2/6 > 2/7 with a model or number line.

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

Students may compare denominators alone, reverse the greater-than and less-than symbols, or assume that a larger denominator always means a larger fraction. Watch for errors in converting equivalent fractions, such as choosing 2/6 instead of 4/6 for 2/3, and remind students to select every correct option in the multiple-select question about fractions equal to one whole.

How do I assign and grade this Comparing Fractions with Models worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for checking the model, comparison, equivalence, and number-line items. 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 fraction worksheet for my students?

Use the worksheet’s Advanced Settings to increase font size or adjust font spacing so the comparison symbols, fraction models, and number-line prompts are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping the same fraction practice and question formats.

Where can I find more 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 mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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