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Equivalent Fractions Worksheets

These equivalent fractions worksheets are generated rather than scanned, which means you can print a different sheet every day of the week without paying for a subscription or running out of practice. The version loaded below opens with items in the shape of 6/8 = □/24 and 8/9 = 16/□; the key lists 18 and 18 next to their question numbers.

📄 EQUIVALENT FRACTIONS WORKSHEETS — A NEW SHEET EVERY TIME YOU PRESS THE BUTTON
🎲 New set of problems

‘New set of problems’ opens the generator in its own tab. There you can change the problem count and turn the answer key on or off. ‘Print or save as PDF’ opens the print dialog — choose Save as PDF in the printer list to keep the file. The sheet fits US Letter and A4, and the answer key prints on its own page.

What you are practising here

Simplifying a fraction means dividing the top and bottom by the same number until nothing else divides both. 6/8 = □/24 reduces to 18, and the value never changed — only the way it is written.

A quick divisibility check saves time on a fraction like 8/9 = 16/□: even numbers halve, digit sums divisible by three divide by three, numbers ending in 0 or 5 divide by five.

This sheet uses denominators up to 54, chosen so that most fractions genuinely reduce rather than being already in lowest terms — 3/4 = □/12 is a fair example of it.

Equivalent fractions and simplifying are the same idea travelling in opposite directions, and children who see that handle common denominators far more easily.

Teachers usually place equivalent fractions worksheets alongside the equivalent fractions expectations for this grade, which is where the skill sits in the majority of US state frameworks.

Examples taken from this worksheet

These six come from the sheet loaded on this page. Press the button and the numbers change, but the shape stays the same (denominators up to 54).
#ProblemAnswerWhat to check
16/8 = □/2418Watch for: assuming every fraction simplifies
28/9 = 16/□18Check: dividing only the numerator
32/3 = 6/□9Look at: stopping at the first common factor
41/6 = □/366Ask about: losing the fraction line
53/4 = □/129Watch for: subtracting instead of dividing
61/2 = □/84Check: cancelling digits rather than factors

Start with one worked example

A good first problem to do together is 6/8 = □/24, which comes out at 18. Do 6/8 = □/24 once with the child narrating, then hand over the pencil and start the clock on the other 20 problems.

The item 8/9 = 16/□ is worth doing slowly. The answer to 8/9 = 16/□ is 18, and the route to it is the route every other problem on this sheet takes — which is why the sheet has 20 of them rather than one.

The three errors worth watching for

How to use these worksheets at home

  1. Read the first two problems out loud together before starting the clock. It costs fifteen seconds and removes most of the 'I did not understand the question' errors.
  2. Run the sheet at the same time each day. Ten focused minutes before dinner beats an hour on Sunday, because finding equivalent fractions is a recall skill: 6/8 = □/24 has to arrive without being worked out, and recall is built by frequency.
  3. Do not raise the number of problems until the accuracy is steady. Going from 20 correct-but-slow problems to more problems only multiplies the same mistake.
  4. Mark it together straight away while the working is still fresh, so a slip like the one behind 2/3 = 6/□ can be talked through instead of guessed at.
  5. Keep the session to about 10 minutes. A child working at this level who is still counting on fingers will need longer than that on a line like 6/8 = □/24, and that is fine: the timer is a measurement, never a punishment.

Marking the sheet

Every generated sheet carries its own key on a separate printed page, which lets a child self-mark without seeing the answers while they work.

Answers appear next to their question numbers, so a wrong item like 8/9 = 16/□ can be found in the key in a second and re-worked while it is still fresh.

How to print this worksheet

Printing works the same on US Letter and A4, because the layout uses relative widths rather than fixed inches. Set margins to default and scaling to 100%, and all 20 problems fit.

Portrait orientation is what the sheet is designed for. Landscape works but wastes about a third of the paper, so leave the orientation alone unless you have a reason.

Frequently asked questions

Will these print correctly on A4?
Yes. These equivalent fractions worksheets fit both A4 and US Letter without clipping, as long as print scaling is left at 100% and browser headers and footers are switched off.
How does this help with other fraction work?
Every add, subtract, multiply and divide of fractions ends with a simplification step, so slow simplifying makes every other fraction topic slow.
Is the answer key included?
Yes, on its own page behind the worksheet. For the sheet loaded right now it shows 18 for 6/8 = □/24 and 18 for 8/9 = 16/□.
What is the fastest way to simplify?
Divide by the greatest common factor. If that is not obvious, halve repeatedly and then try three, five and seven — with denominators up to 54 that is quick enough, and a typical line looks like 3/4 = □/12.

When these become easy, move along the related links below rather than adding more problems to the same sheet.

More worksheets like this

→ Free Fractions Worksheets

Free printable math worksheets from a working math academy director in Korea. Problems come from our own code, not from a published workbook. Every sheet prints on US Letter or A4 with its answer key. All worksheets · Worksheet generator · Korean site
Last updated: 2026-09-13