Free Printable PDFs with Answer Keys — Plus an AI Generator for Custom Practice
Download a curated library of equivalent fractions worksheets for 3rd-6th grade, or generate your own missing-numerator, visual-model, and equivalence-check problems on demand.
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Hand-curated equivalent fractions worksheets covering 3rd through 6th grade. Each PDF includes a complete answer key.
Match each pie/bar model to its equivalent fraction. Builds the same-amount intuition before symbolic work.
Download PDFPlot pairs of equivalent fractions on a number line to see they share the same point.
Download PDFSolve for the missing numerator using halves, thirds, and fourths.
Download PDF20 missing-numerator problems with denominators up to 12. Includes answer key.
Download PDFFind the denominator that makes each pair equivalent. Mixed numerators 1-9.
Download PDFDecide whether each pair of fractions is equivalent. Builds cross-multiplication fluency.
Download PDFComplete chains like 1/2 = ?/4 = ?/8 = ?/16. Reinforces the multiply-both-parts rule.
Download PDFReduce each fraction to its simplest equivalent form. Mixed denominators 4-24.
Download PDFAll formats together: missing numerator, missing denominator, true/false, simplify.
Download PDF8 real-world equivalent-fractions word problems (recipes, measurements, fair-share).
Download PDFEquivalent pairs with denominators up to 100. Strong cross-multiplication and GCF practice.
Download PDFFind equivalents that involve mixed numbers and improper fractions.
Download PDFFind the missing top number that makes two fractions equivalent (e.g., 2/3 = ?/12)
Try: “Generate 10 missing-numerator equivalent fractions problems for 4th grade”
Find the missing bottom number to complete the equivalent pair
Try: “Generate 10 missing-denominator equivalent fractions problems for 4th grade”
Pie charts, bar models, and area models that show why two fractions are equivalent
Try: “Create 8 visual-model equivalent fractions problems for 3rd grade”
Multi-step equivalence (e.g., 1/2 = ?/4 = ?/8 = ?/16) to build pattern recognition
Try: “Generate 10 equivalent fraction chains for 5th grade”
Decide whether two fractions are equivalent — fast cross-multiplication practice
Try: “Create 10 true or false equivalent fractions checks for 4th grade”
Locate equivalent fractions on a number line to reinforce the same-point intuition
Try: “Generate 8 equivalent fractions on a number line for 3rd grade”
Reduce fractions to lowest terms to find their simplest equivalent
Try: “Create 12 simplifying to lowest terms problems for 5th grade”
Real-world equivalent-fractions problems (recipes, measurements, fair-share)
Try: “Generate 8 equivalent fractions word problems for 5th grade”
Quick reference showing the most common fractions and their equivalents. Multiply the numerator and denominator of the base fraction by the same number to land in the matching column.
| Base | ×1 | ×2 | ×3 | ×4 | ×5 | ×6 | ×7 | ×8 |
|---|---|---|---|---|---|---|---|---|
| 1/2 | 1/2 | 2/4 | 3/6 | 4/8 | 5/10 | 6/12 | 7/14 | 8/16 |
| 1/3 | 1/3 | 2/6 | 3/9 | 4/12 | 5/15 | 6/18 | 7/21 | 8/24 |
| 1/4 | 1/4 | 2/8 | 3/12 | 4/16 | 5/20 | 6/24 | 7/28 | 8/32 |
| 1/5 | 1/5 | 2/10 | 3/15 | 4/20 | 5/25 | 6/30 | 7/35 | 8/40 |
| 2/3 | 2/3 | 4/6 | 6/9 | 8/12 | 10/15 | 12/18 | 14/21 | 16/24 |
| 2/5 | 2/5 | 4/10 | 6/15 | 8/20 | 10/25 | 12/30 | 14/35 | 16/40 |
| 3/4 | 3/4 | 6/8 | 9/12 | 12/16 | 15/20 | 18/24 | 21/28 | 24/32 |
| 3/5 | 3/5 | 6/10 | 9/15 | 12/20 | 15/25 | 18/30 | 21/35 | 24/40 |
| 5/6 | 5/6 | 10/12 | 15/18 | 20/24 | 25/30 | 30/36 | 35/42 | 40/48 |
Read each row left-to-right: the base fraction stays the same value, just written with bigger numbers.
Four fully solved problems that show the exact reasoning students need for each worksheet type. Use these as a model before assigning practice.
Problem
2/3 = ?/12
Compare the denominators
Ask: what do I multiply 3 by to get 12? Since 12 ÷ 3 = 4, the multiplier is 4.
Apply the same multiplier to the numerator
Multiply the top number by 4: 2 × 4 = 8.
Verify by simplifying
Divide 8/12 by the common factor 4: 8 ÷ 4 = 2 and 12 ÷ 4 = 3, giving back 2/3. ✓
Problem
4/5 = 12/?
Compare the numerators
Ask: what do I multiply 4 by to get 12? Since 12 ÷ 4 = 3, the multiplier is 3.
Apply the same multiplier to the denominator
Multiply the bottom number by 3: 5 × 3 = 15.
Verify
Divide both parts by 3: 12 ÷ 3 = 4 and 15 ÷ 3 = 5, giving back 4/5. ✓
Problem
Is 6/8 equivalent to 9/12?
Cross-multiply one way
Multiply the first numerator by the second denominator: 6 × 12 = 72.
Cross-multiply the other way
Multiply the second numerator by the first denominator: 8 × 9 = 72.
Compare the products
Both products equal 72, so the fractions are equivalent.
Problem
Simplify 18/24
Find the greatest common factor (GCF)
Factors of 18: 1, 2, 3, 6, 9, 18. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24. The GCF is 6.
Divide both parts by the GCF
18 ÷ 6 = 3 and 24 ÷ 6 = 4.
Check that the result is in lowest terms
3 and 4 share no common factor besides 1, so 3/4 is the simplest equivalent.
Four misconceptions we see most often when grading 3rd–6th-grade work, with the correct reasoning teachers can use to re-teach.
Incorrect
2/3 = 4/5
Correct
2/3 = 4/6
Equivalent fractions are made by multiplying (or dividing) both parts by the same number — not by adding. Adding 2 to both 2 and 3 changes the ratio, so 4/5 names a different amount than 2/3. Multiplying both parts by 2 gives 4/6, which keeps the same ratio.
Incorrect
1/2 = 2/2
Correct
1/2 = 2/4
If you double the top number, you also have to double the bottom number. Changing just one part creates a brand-new fraction with a different value — 2/2 equals 1, not 1/2.
Incorrect
3/5 = 9/10
Correct
3/5 = 9/15
Here the top was multiplied by 3 but the bottom was only multiplied by 2, so the ratio changed. The rule is: whatever you do to the top, you must do to the bottom — multiplying both by 3 gives 9/15.
Incorrect
6/8 is wrong; the answer is 3/4.
Correct
6/8 and 3/4 are equivalent fractions — both are correct.
A fraction and its simplest form name the same amount. 6/8 isn't an error — it's just not in lowest terms. Mark it wrong only when the problem specifically asks for the answer in simplest form.
Generate custom worksheets in three simple steps
Browse the library below for ready-to-print worksheets, or type what you need in plain English in the generator above.
Our AI creates unique equivalent fractions problems matched to the grade and difficulty you asked for — never the same set twice.
Get a clean printable worksheet plus a separate answer key. No login required for your first 5 generations.
Print a full set of leveled equivalent fractions worksheets for centers and homework, or generate custom problems on the spot when a student needs more practice.
Move from visual models in 3rd grade to chains and word problems in 5th grade — one page that grows with your child.
Walk into a session with a fresh worksheet generated to the exact skill the student is missing — missing numerator, simplifying, or true/false.
Use the visual-model and number-line worksheets to anchor the concept, then progress to symbolic equivalence.
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