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Subtracting Fractions With Like Denominators

This page makes free printable subtracting fractions with like denominators worksheets on demand: press the button and you get a new sheet of 20 problems with a matching answer key, ready for US Letter or A4 paper. A typical problem from the sheet in front of you is 9/12 − 7/12, which works out to 1/6; another is 2/4 − 1/4, giving 1/4.

📄 SUBTRACTING FRACTIONS WITH LIKE DENOMINATORS — 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 these worksheets cover

Adding fractions with the same denominator behaves the way children expect — the denominators stay put and the numerators are added, which is all 2/4 − 1/4 requires. In 9/12 − 7/12 the answer is 1/6, and the denominator never moved.

This is the right place to establish what a denominator actually is, because the arithmetic in 8/9 − 5/9 is easy enough that the concept gets the attention.

This sheet uses like denominators from 3 to 12, and answers are given in simplest form so simplification is practised alongside the addition itself, as the item 2/3 − 1/3 on this sheet shows.

The instruction 'add the tops, keep the bottoms' is a fine shortcut and a poor explanation. Ask once per sheet why the denominator stays the same.

Work of this kind is commonly aligned with the fractions strand for grade 4; schools outside the US meet the same skill at roughly the same age, which is why these subtracting fractions with like denominators worksheets travel well.

Sample problems from the current sheet

These six come from the sheet loaded on this page. Press the button and the numbers change, but the shape stays the same (like denominators from 3 to 12).
#ProblemAnswerWhat to check
19/12 − 7/12 =1/6Watch for: subtracting in the wrong order
22/4 − 1/4 =1/4Check: adding the denominators too
38/9 − 5/9 =1/3Look at: writing an improper fraction when a mixed number is expected
43/6 − 1/6 =1/3Ask about: leaving the answer unsimplified
52/3 − 1/3 =1/3Watch for: simplifying halfway
62/8 − 1/8 =1/8Check: losing the whole-number part

One problem worked through

Try 8/9 − 5/9 together before letting the child start alone. The answer to 8/9 − 5/9 is 1/3, and talking through how it was reached takes about a minute and saves several minutes of guessing later in the sheet.

Work 3/6 − 1/6 out loud as a demonstration. It gives 1/3. Children who hear 3/6 − 1/6 reasoned through once at the start of a session make noticeably fewer errors in the ten minutes that follow.

Where children usually slip up

A 10-minute routine that works

  1. Stop the session at the time limit even if the sheet is unfinished, and note where the child got to. A half sheet done well is better data than a whole sheet rushed.
  2. 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.
  3. Re-print the same skill rather than the same sheet. Because the numbers change, a child who memorised that 9/12 − 7/12 gives 1/6 still has to actually calculate tomorrow.
  4. Run the sheet at the same time each day. Ten focused minutes before dinner beats an hour on Sunday, because subtracting fractions with the same denominator is a recall skill: 9/12 − 7/12 has to arrive without being worked out, and recall is built by frequency.
  5. 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.

About the answer key

Because the numbers are random, there is no shared answer list to look up: the key printed behind your sheet is the only one that fits it, and it shows 1/6 for 9/12 − 7/12.

The answer key is generated with the worksheet, not written by hand, so it always matches the sheet in front of you — 9/12 − 7/12 is listed as 1/6, 2/4 − 1/4 as 1/4, and so on down the page.

Printing and saving as PDF

If the problems look cramped, drop the count from 20 to a smaller number before printing these subtracting fractions with like denominators worksheets; the font stays the same size and the spacing opens up.

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.

Frequently asked questions

Is the answer key included?
Yes, on its own page behind the worksheet. For the sheet loaded right now it shows 1/6 for 9/12 − 7/12 and 1/4 for 2/4 − 1/4.
Will these print correctly on A4?
Yes. These subtracting fractions with like denominators 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.
Why does the denominator stay the same?
Because the pieces are already the same size, so you are only counting how many of them there are. Three quarters plus two quarters is five quarter-pieces.
Should answers be simplified?
On this sheet, yes — the key gives the simplest form. It is the convention nearly every school uses, and simplifying is itself worth practising.

Keep the finished subtracting fractions with like denominators worksheets in date order — the drop in time across ten sheets is the clearest progress report you will get.

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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