Fraction Worksheet Maker

Fraction Worksheet Maker

Choose from simplifying, common denominators, adding, subtracting, multiplying and dividing fractions, mixed and improper fractions, fractions and decimals, and comparing — then print an A4 worksheet. Every answer is reduced by the greatest common divisor, and the answer key comes with it. Suitable from upper primary through to lower secondary.

The questions are generated inside your browser. Nothing is sent to a server.

Quick presets

One tap sets everything below at once. You can still change anything afterwards.

Question types (choose as many as you like)

The types you choose are mixed through the sheet in even proportions. Choose only one and you get that type alone.

Denominator range

For simplifying questions the range applies to the denominator of the answer, so the fraction printed in the question is a multiple of it and its denominator can be larger.

Mixed numbers

"Include mixed numbers" lets questions such as 1 2/3 appear. The mixed ↔ improper type uses mixed numbers regardless of this setting.

Negative answers

With "No negatives" the larger fraction always comes first in a subtraction. Turn negatives on for work on integers and rational numbers.

How to write the answer

Either way the answer is reduced by the greatest common divisor.

Show the question type

Labels help when several types are mixed together. Mixed ↔ improper and fraction ↔ decimal always keep their label, because the question has to say which way to convert.

Type size
Columns

Leave it blank and a title is built from the types you chose.

Number of versions

Extra versions use the same settings but different numbers, so neighbours cannot copy each other.

Answer key

Type the same key again to get exactly the same worksheet back.

Choose the question types, press "Make the worksheet", and it appears here.

How to use

  1. 1

    Choose the question types

    Pick what you need from simplifying, common denominators, same-denominator addition and subtraction, different-denominator addition and subtraction, multiplying, dividing, mixed ↔ improper, fraction ↔ decimal and comparing. Choose several and they are mixed through the sheet in even proportions. The quick presets at the top set a common combination for each school year.

  2. 2

    Set the difficulty

    Choose a denominator range of 2–6, 2–12 or 2–20, decide whether mixed numbers appear and whether subtraction may give a negative answer. You can also choose whether an improper answer is rewritten as a mixed number. Either way, the answer is reduced by the greatest common divisor.

  3. 3

    Set out the page

    Choose the type size, the number of columns, how many questions go on a page and how many pages to make. An estimate of how many questions actually fit is shown as you go. Fractions are written one above the other, so a row is taller than in plain arithmetic.

  4. 4

    Print it or save it as a PDF

    The answer key follows the worksheet as separate pages. To leave it out, choose "Worksheet only" under "What to print". Changing Destination to "Save as PDF" in the print dialog gives you a file.

Who it helps

  • Parents who want a little simplifying and common-denominator practice every day
  • Children who keep getting stuck adding fractions with different denominators
  • Children who need more practice multiplying by the reciprocal when dividing fractions
  • Students shoring up fractions before the rational-numbers work in secondary school
  • Tutors who need the same difficulty but different numbers for each class
  • Anyone who takes too long converting between mixed numbers and improper fractions

A sensible order by school year

With fractions, a shaky earlier step blocks the next one completely. Work up in this order.

  • Around age 9–10: same-denominator addition and subtraction (denominators 2–6) → mixed ↔ improper
  • Around age 10–11: simplifying → common denominators → comparing → different-denominator addition and subtraction (denominators 2–12)
  • Around age 11–12: multiplying fractions → dividing fractions → the four operations with mixed numbers
  • Preparing for secondary school: denominators 2–20, mixed numbers on, negatives allowed, plus fraction ↔ decimal

How answers are reduced

Every result is divided by the greatest common divisor of its numerator and denominator. For example 1/6 + 1/3 becomes 3/6 over the common denominator, and dividing by 3 gives 1/2. If the answer is improper, the "How to write the answer" setting decides whether it is rewritten as a mixed number or left as it is. When the denominator becomes 1 the answer is written as a whole number. Common-denominator questions are the one exception: both fractions are left over the least common multiple, because reducing them would undo exactly the work the question asks for.

Frequently asked questions

Are the answers correct?

The answer is calculated as the question is built, and then recalculated from scratch by reading only the numbers that will actually be printed. A question reaches the page only if the two agree and the answer is in simplest form. For common denominators it also checks that both answers share a denominator and that the denominator is the least common multiple. It is still generated automatically, so a quick glance before printing is worth it.

Is the answer always in simplest form?

For the four operations, simplifying, and decimal-to-fraction questions, yes — reduced by the greatest common divisor. Common-denominator questions are the exception: both fractions stay over the least common multiple, because reducing them would take you straight back to the original fractions.

Can I have simplifying questions only?

Yes. Under "Question types", leave "Simplifying" ticked and untick the rest. The same works for common denominators alone, dividing fractions alone, and so on. Choose several and they are spread evenly, so ticking all nine gives roughly the same number of each.

How is the denominator range applied?

Choose 2–6, 2–12 or 2–20 and the denominators in the questions are drawn from that range. Simplifying is the exception: the denominator of the reduced answer comes from the range and is then scaled up, so a printed fraction such as 12/18 can have a larger denominator. Common denominators that appear mid-calculation may also exceed the range.

Can questions contain mixed numbers?

Yes. Choose "Include mixed numbers" and questions such as 1 2/3 + 2 1/4 appear. The mixed ↔ improper type uses mixed numbers regardless of the setting. The fraction part of a mixed number is always proper — though in same-denominator addition, subtraction and comparing, a part such as 1 2/4 that could still be reduced may appear, which doubles as simplifying practice.

Can subtraction give a negative answer?

With "No negatives", the operands are swapped so the larger fraction always comes first and no answer is negative. That is the right setting for primary school. Switch to "Allow negative answers" and questions such as 1/4 − 2/3 = −5/12 appear, which suits work on integers and rational numbers.

Which denominators appear in fraction-to-decimal questions?

Only ones that terminate — denominators whose only prime factors are 2 and 5, that is 2, 4, 5, 8, 10, 16 and 20, within the range you chose. Fractions such as 1/3 or 2/7 that never terminate are not used. Decimal-to-fraction questions are limited to answers whose denominator falls inside your range.

How do you answer a comparing question?

Write >, < or = in the ○ between the two fractions. Finding a common denominator, or converting to decimals, both work. Pairs of equal value such as 1/2 and 2/4 turn up now and then, so it is good practice for actually doing the comparison instead of guessing that they differ.

Could a question have a denominator of 0?

No. Denominators are always drawn from 2 upwards, and in division the numerator of the divisor can never be 0. The answer function also refuses to produce a result when a denominator is 0 and the question is discarded. Divisions whose answer is 1 — dividing a fraction by itself — are left out too, as they teach nothing.

Can I reprint exactly the same worksheet?

Type anything you like into "Worksheet key (seed)". With the same settings and the same key you get the identical sheet back. The key is printed in small type at the bottom, which is handy when a child loses their copy.

What is the difference between sets A and B?

Same conditions, different numbers. The question types and the denominator range are identical, so the difficulty matches, but neighbours cannot copy each other. Each set gets its own answer key.

Can I get it as a PDF?

Yes. Press "Print / save as PDF" and change Destination to "Save as PDF" in the print dialog (on a Mac, use the PDF menu). The text stays real text, so the file is small and easy to send on.

Does it work offline?

Yes. There is not a single external library, so once the page has loaded it works with no network. Generating and printing both happen entirely in the browser.

Is anything I type stored?

No. Everything happens inside your browser and nothing is sent to a server. Closing the page discards the title and class name you entered.