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Worksheets /Fractions, decimals and percentages

Comparing fractions worksheets

Put the right sign between two fractions. Pairs are chosen so the answer needs reasoning rather than a glance, and equal pairs appear often enough to matter.

Grade 3–Grade 6 · every refresh draws a new set · answer key included

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Name Date

Comparing fractions worksheets

Write <, > or = between each pair of fractions.

1.
3512
2.
1329
3.
101116
4.
58211
5.
1224
6.
1413
7.
2312
8.
1212
9.
1412
10.
4712
11.
71267
12.
712311
13.
56712
14.
1423
15.
1414
16.
310611
17.
12112
18.
27112
19.
1236
20.
1718
21.
8914
22.
1216
23.
1834
24.
1356
Sheetsmith · sheetsmith.online · set nzeg8kSheet 1 of 2

Comparing fractions worksheets — answer key

Write <, > or = between each pair of fractions.

1.
3512>
2.
1329>
3.
101116>
4.
58211>
5.
1224=
6.
1413<
7.
2312>
8.
1212=
9.
1412<
10.
4712>
11.
71267<
12.
712311>
13.
56712>
14.
1423<
15.
1414=
16.
310611<
17.
12112>
18.
27112>
19.
1236=
20.
1718>
21.
8914>
22.
1216>
23.
1834<
24.
1356<
Sheetsmith · sheetsmith.online · set nzeg8kSheet 2 of 2

24 problems · US Letter · answer key — 2 sheets, page breaks marked in the preview

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What this worksheet is for

Comparing fractions is where the difference between a number and its notation becomes obvious: three eighths looks bigger than a third because both its digits are bigger, and it is not. Pupils need a method — common denominators, comparison to a half, or reasoning about the size of the pieces — and a page of pairs is how the method gets practised. Pairs here include some that are genuinely equal, because a sheet where the answer is never = teaches pupils to stop considering it.

Who it suits

Grade 3 to Grade 6, ages eight to twelve. Same-numerator pairs suit Grade 3, where the reasoning is about the size of the pieces. Unlike pairs needing a common denominator belong in Grade 4 and up.

How to use the settings

Keep the largest denominator low while a method is being learned, because comparing sixths with eighths is a reasoning question, and comparing sevenths with elevenths is an arithmetic one. Use the page alongside the equivalent fractions sheet: rewriting both fractions with a common denominator is the method most classes settle on, and it is the same skill.

What goes wrong

Comparing numerators alone is the headline error, followed by comparing denominators alone — and the second is worse, because with the same numerator the larger denominator means the smaller fraction, which feels backwards. Equal pairs written as < or > reveal pupils who are guessing from the shape of the numbers rather than working anything out.

Questions

How do I compare fractions with different denominators?
Rewrite both with a common denominator and compare the numerators, or compare each to a half and see which side of it they fall on. The second method is quicker and works surprisingly often.
Why is a bigger denominator sometimes a smaller fraction?
Because the denominator says how many pieces the whole was cut into. More pieces means smaller pieces, so with the same numerator, the larger denominator gives the smaller fraction.
Do equal pairs really appear?
Yes, in roughly one question in seven — written differently, such as two quarters against a half. They are the questions that show whether a pupil is reasoning or pattern-matching.

Related worksheets

  • Equivalent fractions worksheetsGrade 3–Grade 6
  • Simplifying fractions worksheetsGrade 4–Grade 6
  • Adding fractions worksheetsGrade 3–Grade 6

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