Operations with fractions worksheet for Algebra 1

All four operations on fractions, with answers left exact rather than as decimals. Adding needs a common denominator; multiplying and dividing do not.

Also taught in Pre-Algebra, at its own level and with its own examples.

Select your difficulty

Pick more than one for a sheet that mixes them.

The preview can look cramped on a phone. The PDF and printed sheet come out normal.



Sigma Prep · sigmaprep.io/worksheets Name Operations with Fractions Date Period Simplify. Add and subtract fractions $\frac{3}{5} - \frac{1}{5}$ $\frac{1}{2} + \frac{1}{2}$ $\frac{3}{4} - \frac{1}{2}$ $\frac{2}{3} + \frac{5}{6}$ $\frac{4}{5} + \frac{4}{5}$ $\frac{1}{5} - \frac{1}{10}$ $\frac{1}{2} - \frac{1}{3}$ $\frac{2}{3} + \frac{2}{3}$ $\frac{2}{5} + \frac{2}{3}$ $\frac{2}{3} - \frac{4}{9}$ Multiply and divide fractions $\frac{2}{5} \cdot \frac{9}{10}$ $\frac{1}{3} \div \frac{1}{2}$ $\frac{1}{4} \cdot \frac{1}{3}$ $\frac{5}{6} \div \frac{3}{4}$ $\frac{1}{6} \div \frac{1}{2}$ $\frac{1}{3} \cdot \frac{1}{3}$ $\frac{5}{6} \div \frac{8}{9}$ $\frac{3}{5} \cdot \frac{4}{5}$ $\frac{3}{4} \cdot \frac{7}{12}$ $\frac{1}{5} \div \frac{2}{3}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Operations with Fractions

Date Period

Simplify.

Add and subtract fractions
$\frac{3}{5} - \frac{1}{5}$
$\frac{1}{2} + \frac{1}{2}$
$\frac{3}{4} - \frac{1}{2}$
$\frac{2}{3} + \frac{5}{6}$
$\frac{4}{5} + \frac{4}{5}$
$\frac{1}{5} - \frac{1}{10}$
$\frac{1}{2} - \frac{1}{3}$
$\frac{2}{3} + \frac{2}{3}$
$\frac{2}{5} + \frac{2}{3}$
$\frac{2}{3} - \frac{4}{9}$

Multiply and divide fractions
$\frac{2}{5} \cdot \frac{9}{10}$
$\frac{1}{3} \div \frac{1}{2}$
$\frac{1}{4} \cdot \frac{1}{3}$
$\frac{5}{6} \div \frac{3}{4}$
$\frac{1}{6} \div \frac{1}{2}$
$\frac{1}{3} \cdot \frac{1}{3}$
$\frac{5}{6} \div \frac{8}{9}$
$\frac{3}{5} \cdot \frac{4}{5}$
$\frac{3}{4} \cdot \frac{7}{12}$
$\frac{1}{5} \div \frac{2}{3}$



Sigma Prep · sigmaprep.io/worksheets Name Operations with FractionsAnswer keyVersion 1 Date Period Simplify. Add and subtract fractions $\frac{3}{5} - \frac{1}{5}$ $\frac{2}{5}$ $\frac{1}{2} + \frac{1}{2}$ $1$ $\frac{3}{4} - \frac{1}{2}$ $\frac{1}{4}$ $\frac{2}{3} + \frac{5}{6}$ $\frac{3}{2}$ $\frac{4}{5} + \frac{4}{5}$ $\frac{8}{5}$ $\frac{1}{5} - \frac{1}{10}$ $\frac{1}{10}$ $\frac{1}{2} - \frac{1}{3}$ $\frac{1}{6}$ $\frac{2}{3} + \frac{2}{3}$ $\frac{4}{3}$ $\frac{2}{5} + \frac{2}{3}$ $\frac{16}{15}$ $\frac{2}{3} - \frac{4}{9}$ $\frac{2}{9}$ Multiply and divide fractions $\frac{2}{5} \cdot \frac{9}{10}$ $\frac{9}{25}$ $\frac{1}{3} \div \frac{1}{2}$ $\frac{2}{3}$ $\frac{1}{4} \cdot \frac{1}{3}$ $\frac{1}{12}$ $\frac{5}{6} \div \frac{3}{4}$ $\frac{10}{9}$ $\frac{1}{6} \div \frac{1}{2}$ $\frac{1}{3}$ $\frac{1}{3} \cdot \frac{1}{3}$ $\frac{1}{9}$ $\frac{5}{6} \div \frac{8}{9}$ $\frac{15}{16}$ $\frac{3}{5} \cdot \frac{4}{5}$ $\frac{12}{25}$ $\frac{3}{4} \cdot \frac{7}{12}$ $\frac{7}{16}$ $\frac{1}{5} \div \frac{2}{3}$ $\frac{3}{10}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Operations with FractionsAnswer keyVersion 1

Date Period

Simplify.

Add and subtract fractions
$\frac{3}{5} - \frac{1}{5}$ $\frac{2}{5}$
$\frac{1}{2} + \frac{1}{2}$ $1$
$\frac{3}{4} - \frac{1}{2}$ $\frac{1}{4}$
$\frac{2}{3} + \frac{5}{6}$ $\frac{3}{2}$
$\frac{4}{5} + \frac{4}{5}$ $\frac{8}{5}$
$\frac{1}{5} - \frac{1}{10}$ $\frac{1}{10}$
$\frac{1}{2} - \frac{1}{3}$ $\frac{1}{6}$
$\frac{2}{3} + \frac{2}{3}$ $\frac{4}{3}$
$\frac{2}{5} + \frac{2}{3}$ $\frac{16}{15}$
$\frac{2}{3} - \frac{4}{9}$ $\frac{2}{9}$

Multiply and divide fractions
$\frac{2}{5} \cdot \frac{9}{10}$ $\frac{9}{25}$
$\frac{1}{3} \div \frac{1}{2}$ $\frac{2}{3}$
$\frac{1}{4} \cdot \frac{1}{3}$ $\frac{1}{12}$
$\frac{5}{6} \div \frac{3}{4}$ $\frac{10}{9}$
$\frac{1}{6} \div \frac{1}{2}$ $\frac{1}{3}$
$\frac{1}{3} \cdot \frac{1}{3}$ $\frac{1}{9}$
$\frac{5}{6} \div \frac{8}{9}$ $\frac{15}{16}$
$\frac{3}{5} \cdot \frac{4}{5}$ $\frac{12}{25}$
$\frac{3}{4} \cdot \frac{7}{12}$ $\frac{7}{16}$
$\frac{1}{5} \div \frac{2}{3}$ $\frac{3}{10}$

How to do these

$\frac{2}{3} + \frac{1}{4}$

The common denominator is 12.
8 over 12 plus 3 over 12.

The answer is $\frac{11}{12}$ .

Where students go wrong

Finding a common denominator when multiplying. Multiplying goes straight across and needs nothing matched, so the extra work is wasted and often introduces a mistake.

Also called fraction arithmetic, fraction operations or all four operations with fractions.

What you can put on this worksheet

Adding and subtracting fractions: $\frac{3}{4} + \frac{1}{8}$ → $\frac{7}{8}$
Multiplying and dividing fractions: $\frac{3}{4} \cdot \frac{1}{8}$ → $\frac{3}{32}$
A whole number minus a fraction: $5 - \frac{1}{5}$ → $4 \frac{4}{5}$

Questions about these worksheets

Yes. Every operations with fractions sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Algebra 1 is usually taken around 8th or 9th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the operations with fractions questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are two levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 3: adding and subtracting fractions, multiplying and dividing fractions and a whole number minus a fraction. Tick as many as you want and set how many of each, or let it spread them evenly.

Finding a common denominator when multiplying. Multiplying goes straight across and needs nothing matched, so the extra work is wasted and often introduces a mistake.

Operations with fractions worksheet for Algebra 1

Select your difficulty

Add and subtract fractions

Multiply and divide fractions

Add and subtract fractions

Multiply and divide fractions

How to do these

Where students go wrong

What you can put on this worksheet

Questions about these worksheets

Are these operations with fractions worksheets free?+

Do the operations with fractions worksheets come with an answer key?+

Are these operations with fractions worksheets printable?+

What grade are these operations with fractions worksheets for?+

Can I get a different version of the same operations with fractions worksheet?+

Is this a free alternative to Kuta Software for operations with fractions?+

Can I choose how hard the operations with fractions questions are?+

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What do students get wrong with operations with fractions?+