Equivalent fractions worksheets
Finding fractions that name the same amount, like 1/2, 2/4 and 4/8. Children multiply or divide the top and bottom by the same number.
Download the free equivalent fractions worksheet (PDF)
Equivalent fractions worksheet
What’s on the worksheet
- 50 questions on equivalent fractions, sized for US Letter paper
- 3 pages of questions plus an answer key on the last page
- Written for grades 3–4, matching Common Core 3.NF.A.3, 4.NF.A.1
- Name and date lines at the top, and room to show the work
Preview the worksheet and answer key
Make a new equivalent fractions worksheet
Need another page for extra practice, a retake or a second group in class? The free Mathify Kids test maker builds a fresh equivalent fractions worksheet with different numbers every time. Choose Core, Standard or Challenge level, print it with its own answer key, or let your child take it on screen and see the score straight away.
Equivalent fractions: a worked example (2/3 = ?/12)
- What turns 3 into 12? Multiply by 4.
- Do the same to the top: 2 × 4 = 8.
- So 2/3 = 8/12.
How to use it at home and in class
At home
Fold a paper strip into thirds, shade two, then fold each third into 4. The shaded part is still the same size. Ten problems a day works better than a whole sheet at once. Mark them together with the answer key, then ask your child to explain one they got wrong: finding the mistake themselves is where the learning happens.
In class
Use the first row as a warm-up, a full page for independent practice, or five questions as an exit ticket. For a retake or a second group, make a new version with the test maker so every child gets different numbers.
Mistakes to watch for
- Adding the same number to the top and bottom instead of multiplying.
- Multiplying only the bottom number.
What to practice before and after equivalent fractions
- After: simplifying fractions, once this one is mostly right.
- Learn it first: the equivalent fractions lesson and the fractions chart.
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Questions parents ask
Why do equivalent fractions work?
Multiplying the top and bottom by the same number is the same as multiplying by 1, so the amount doesn’t change. The pieces just get smaller and more numerous.
What grade is this equivalent fractions worksheet for?
It is written for grades 3–4 and matches Common Core standards 3.NF.A.3, 4.NF.A.1.
Can I get a different version of this equivalent fractions worksheet?
Yes. Use the free Mathify Kids test maker to make a new equivalent fractions worksheet with different numbers every time, at Core, Standard or Challenge level, with its own answer key.