★Equivalent and Comparing Fractions
Grade 3 Math Worksheet - Building Confidence
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Write the missing number so the fractions are equal.
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PencilGoGrade 3 · Math · Fractions
3rd Grade Equivalent and Comparing Fractions worksheets
6 printable versionsBuilding ConfidenceAbout 6 minutes eachFree · no account
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About this worksheet
Two fractions are equivalent when they name the same amount, even though the numbers differ: one half and two fourths are the same part of a whole. To compare two fractions, a third grader decides which is greater, which is less, or whether they are equal. This topic has both skills, and each worksheet practices one: the odd-numbered versions are about equivalent fractions and the even-numbered versions are about comparing.
On an equivalent fractions sheet your child writes the missing numerator or denominator, multiplying the top and bottom by the same number; Challenge Me ends with whole numbers written as fractions, such as 2 = 6/3. On a comparing sheet your child writes >, < or = between two fractions: same bottom, same top, or equal. Building Confidence also shows the fractions as bars.
What your child will learn
- Find a missing numerator or denominator in equivalent fractions
- Compare fractions with the same bottom or the same top
- Recognize two fractions that are equal
Common Core standard: 3.NF.A.3, 3.NF.A.3.B
Worked example
1/2 = ?/4: the bottom went from 2 to 4, which is times 2, so the top goes from 1 to 2 and 1/2 = 2/4. To compare 3/4 and 2/4, the pieces are the same size and 3 pieces is more than 2, so 3/4 > 2/4.
Common mistake
Changing only the bottom number, so 1/2 = 1/4, or choosing the fraction with the bigger bottom number as the bigger fraction.
Helpful hint
Equivalent: multiply the top and the bottom by the same number. Comparing: same bottom, more pieces is bigger; same top, the smaller bottom means bigger pieces.
Questions parents ask
What is the most common mistake with equivalent and comparing fractions?
Changing only the bottom number, so 1/2 = 1/4, or choosing the fraction with the bigger bottom number as the bigger fraction.
How can I help my child with equivalent and comparing fractions?
Equivalent: multiply the top and the bottom by the same number. Comparing: same bottom, more pieces is bigger; same top, the smaller bottom means bigger pieces.
Are these 3rd grade math worksheets free to print?
Yes. All 6 printable versions on this page are free to download and print, with no account needed.
Similar: Fractions of a Set · Fractions on a Number Line
More 3rd grade fractions
See all fractions
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