Adding and subtracting fractions worksheet

Fractions can only be added or subtracted once they share a denominator. With like denominators, add or subtract the numerators. With unlike ones, rewrite both over a common denominator first, then simplify the answer.

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Sigma Prep · sigmaprep.io/worksheets Name Adding and Subtracting Fractions Date Period Add or subtract. Simplify each answer. $\frac{1}{10} + \frac{5}{10}$ $\frac{7}{9} - \frac{9}{4}$ $- \frac{3}{5} + \frac{5}{3}$ $\frac{3}{4} + \frac{1}{3} - \frac{1}{2}$ $\frac{2}{8} + \frac{5}{8}$ $\frac{5}{8} - \frac{7}{3}$ $- \frac{1}{2} - \frac{6}{5}$ $\frac{1}{3} - \frac{4}{5} + \frac{2}{3}$ $\frac{5}{8} + \frac{7}{8}$ $\frac{9}{7} - \frac{1}{9}$ $\frac{9}{4} - \frac{2}{9}$ $\frac{1}{8} - \frac{1}{4} + \frac{1}{4}$ $\frac{1}{9} + \frac{7}{9}$ $- \frac{9}{4} - \frac{2}{3}$ $- \frac{1}{3} + \frac{3}{4}$ $\frac{1}{5} + \frac{3}{5} - \frac{2}{3}$ $\frac{10}{12} - \frac{1}{12}$ $- \frac{7}{2} + \frac{1}{9}$ $\frac{1}{4} + \frac{1}{4}$ $\frac{2}{5} - \frac{3}{8} - \frac{7}{8}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Adding and Subtracting Fractions

Date Period

Add or subtract. Simplify each answer.

$\frac{1}{10} + \frac{5}{10}$
$\frac{7}{9} - \frac{9}{4}$
$- \frac{3}{5} + \frac{5}{3}$
$\frac{3}{4} + \frac{1}{3} - \frac{1}{2}$
$\frac{2}{8} + \frac{5}{8}$
$\frac{5}{8} - \frac{7}{3}$
$- \frac{1}{2} - \frac{6}{5}$
$\frac{1}{3} - \frac{4}{5} + \frac{2}{3}$
$\frac{5}{8} + \frac{7}{8}$
$\frac{9}{7} - \frac{1}{9}$
$\frac{9}{4} - \frac{2}{9}$
$\frac{1}{8} - \frac{1}{4} + \frac{1}{4}$
$\frac{1}{9} + \frac{7}{9}$
$- \frac{9}{4} - \frac{2}{3}$
$- \frac{1}{3} + \frac{3}{4}$
$\frac{1}{5} + \frac{3}{5} - \frac{2}{3}$
$\frac{10}{12} - \frac{1}{12}$
$- \frac{7}{2} + \frac{1}{9}$
$\frac{1}{4} + \frac{1}{4}$
$\frac{2}{5} - \frac{3}{8} - \frac{7}{8}$



Sigma Prep · sigmaprep.io/worksheets Name Adding and Subtracting FractionsAnswer keyVersion 1 Date Period Add or subtract. Simplify each answer. $\frac{1}{10} + \frac{5}{10}$ $\frac{3}{5}$ $\frac{7}{9} - \frac{9}{4}$ $- \frac{53}{36}$ $- \frac{3}{5} + \frac{5}{3}$ $\frac{16}{15}$ $\frac{3}{4} + \frac{1}{3} - \frac{1}{2}$ $\frac{7}{12}$ $\frac{2}{8} + \frac{5}{8}$ $\frac{7}{8}$ $\frac{5}{8} - \frac{7}{3}$ $- \frac{41}{24}$ $- \frac{1}{2} - \frac{6}{5}$ $- \frac{17}{10}$ $\frac{1}{3} - \frac{4}{5} + \frac{2}{3}$ $\frac{1}{5}$ $\frac{5}{8} + \frac{7}{8}$ $\frac{3}{2}$ $\frac{9}{7} - \frac{1}{9}$ $\frac{74}{63}$ $\frac{9}{4} - \frac{2}{9}$ $\frac{73}{36}$ $\frac{1}{8} - \frac{1}{4} + \frac{1}{4}$ $\frac{1}{8}$ $\frac{1}{9} + \frac{7}{9}$ $\frac{8}{9}$ $- \frac{9}{4} - \frac{2}{3}$ $- \frac{35}{12}$ $- \frac{1}{3} + \frac{3}{4}$ $\frac{5}{12}$ $\frac{1}{5} + \frac{3}{5} - \frac{2}{3}$ $\frac{2}{15}$ $\frac{10}{12} - \frac{1}{12}$ $\frac{3}{4}$ $- \frac{7}{2} + \frac{1}{9}$ $- \frac{61}{18}$ $\frac{1}{4} + \frac{1}{4}$ $\frac{1}{2}$ $\frac{2}{5} - \frac{3}{8} - \frac{7}{8}$ $- \frac{17}{20}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Adding and Subtracting FractionsAnswer keyVersion 1

Date Period

Add or subtract. Simplify each answer.

$\frac{1}{10} + \frac{5}{10}$ $\frac{3}{5}$
$\frac{7}{9} - \frac{9}{4}$ $- \frac{53}{36}$
$- \frac{3}{5} + \frac{5}{3}$ $\frac{16}{15}$
$\frac{3}{4} + \frac{1}{3} - \frac{1}{2}$ $\frac{7}{12}$
$\frac{2}{8} + \frac{5}{8}$ $\frac{7}{8}$
$\frac{5}{8} - \frac{7}{3}$ $- \frac{41}{24}$
$- \frac{1}{2} - \frac{6}{5}$ $- \frac{17}{10}$
$\frac{1}{3} - \frac{4}{5} + \frac{2}{3}$ $\frac{1}{5}$
$\frac{5}{8} + \frac{7}{8}$ $\frac{3}{2}$
$\frac{9}{7} - \frac{1}{9}$ $\frac{74}{63}$
$\frac{9}{4} - \frac{2}{9}$ $\frac{73}{36}$
$\frac{1}{8} - \frac{1}{4} + \frac{1}{4}$ $\frac{1}{8}$
$\frac{1}{9} + \frac{7}{9}$ $\frac{8}{9}$
$- \frac{9}{4} - \frac{2}{3}$ $- \frac{35}{12}$
$- \frac{1}{3} + \frac{3}{4}$ $\frac{5}{12}$
$\frac{1}{5} + \frac{3}{5} - \frac{2}{3}$ $\frac{2}{15}$
$\frac{10}{12} - \frac{1}{12}$ $\frac{3}{4}$
$- \frac{7}{2} + \frac{1}{9}$ $- \frac{61}{18}$
$\frac{1}{4} + \frac{1}{4}$ $\frac{1}{2}$
$\frac{2}{5} - \frac{3}{8} - \frac{7}{8}$ $- \frac{17}{20}$

How to do these

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

The common denominator is 12.
1/4 is 3/12 and 2/3 is 8/12.
3/12 plus 8/12 is 11/12.

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

Where students go wrong

Adding the denominators as well as the numerators: 1/4 + 2/3 is not 3/7. Only the numerators add once the denominators match.

Also called adding fractions, subtracting fractions, adding fractions with unlike denominators or fractions with like denominators.

What you can put on this worksheet

Like denominators: $\frac{3}{5} + \frac{3}{5}$ → $\frac{6}{5}$
Adding fractions: $\frac{3}{4} + \frac{1}{8}$ → $\frac{7}{8}$
Subtracting fractions: $\frac{3}{4} - \frac{3}{8}$ → $\frac{3}{8}$
Three fractions: $\frac{1}{4} + \frac{2}{3} - \frac{1}{2}$ → $\frac{5}{12}$

Questions about these worksheets

Yes. Every adding and subtracting 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.

Pre-Algebra is usually taken around 7th or 8th 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 adding and subtracting 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 three 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 4: like denominators, adding fractions, subtracting fractions and three fractions. Tick as many as you want and set how many of each, or let it spread them evenly.

Adding the denominators as well as the numerators: 1/4 + 2/3 is not 3/7. Only the numerators add once the denominators match.

Adding and subtracting fractions worksheet

Select your difficulty

Adding and Subtracting Fractions

Adding and Subtracting FractionsAnswer keyVersion 1

How to do these

Where students go wrong

What you can put on this worksheet

Questions about these worksheets

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