Adding halves, thirds, and quarters
Set the maximum denominator to 4, choose addition, and request 12 questions. Leave common denominators off to include unlike pairs.
Generate addition, subtraction, multiplication, or division of positive proper fractions. Adjust the largest denominator, optionally match denominators within each pair, and print reduced answers on separate key pages.
Operands are positive proper fractions. Subtraction results are nonnegative. Answers use reduced fractions or whole numbers; improper answers are retained.
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20 distinct problems · 2 printable pages including answer keys
Generated locally from your settings and original geometry or algorithms. No external datasets or uploaded fonts are used. Your entered content is not sent to a server by this tool.
Choose an operation and maximum denominator.
Set the count, optional common-denominator preference, and repeatable seed.
Preview question and answer pages, then export the PDF with or without keys.
Set the maximum denominator to 4, choose addition, and request 12 questions. Leave common denominators off to include unlike pairs.
Choose subtraction with a denominator maximum of 8 and turn on matching denominators. All generated answers are nonnegative and reduced.
Questions may contain equivalent forms such as 2/4. Answers are always reduced using the greatest common divisor. Whole-number answers omit the denominator; improper fractions remain improper rather than becoming mixed numbers.
Equivalent representations of the same operand pair are deduplicated. Addition and multiplication also omit reversed pairs. Subtraction is nonnegative, and division never uses a zero fraction because all generated numerators are positive.
Yes. Leave the matching-denominator option off. This permits both like and unlike pairs; it does not force every pair to be different.
Yes. Every answer is reduced, denominators are positive, and exact whole numbers are displayed without /1.
Yes. Addition and division can produce improper fractions. They remain reduced fractions so students can convert to mixed numbers separately.