Pre-Algebra adding integers and rational numbers worksheet

The arithmetic everything after this depends on. Signed numbers and fraction operations, with answers always left as exact fractions rather than decimals.

Select your difficulty

Pick more than one for a sheet that mixes them.



Sigma Prep · sigmaprep.io/worksheets Name Integers and Rational Numbers Date Period Simplify. $- 7 + 12$ $\frac{2}{5} + \frac{9}{10}$ $\frac{1}{2} \cdot \frac{1}{4}$ $- 5 + 4$ $\frac{1}{2} + \frac{1}{2}$ $\frac{2}{3} \cdot \frac{2}{3}$ $- 10 + 3$ $\frac{1}{5} + \frac{3}{10}$ $\frac{1}{5} \div \frac{14}{15}$ $- 9 + 12$ $\frac{5}{6} + \frac{1}{9}$ $\frac{5}{6} \div \frac{1}{2}$ $- 9 + 2$ $\frac{3}{5} - \frac{3}{5}$ $\frac{1}{3} \cdot \frac{2}{3}$ $7 - 2$ $\frac{1}{4} + \frac{3}{4}$ $\frac{5}{6} \cdot \frac{1}{18}$ $4 + 11$ $\frac{2}{3} + \frac{7}{9}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Integers and Rational Numbers

Date Period

Simplify.

$- 7 + 12$
$\frac{2}{5} + \frac{9}{10}$
$\frac{1}{2} \cdot \frac{1}{4}$
$- 5 + 4$
$\frac{1}{2} + \frac{1}{2}$
$\frac{2}{3} \cdot \frac{2}{3}$
$- 10 + 3$
$\frac{1}{5} + \frac{3}{10}$
$\frac{1}{5} \div \frac{14}{15}$
$- 9 + 12$
$\frac{5}{6} + \frac{1}{9}$
$\frac{5}{6} \div \frac{1}{2}$
$- 9 + 2$
$\frac{3}{5} - \frac{3}{5}$
$\frac{1}{3} \cdot \frac{2}{3}$
$7 - 2$
$\frac{1}{4} + \frac{3}{4}$
$\frac{5}{6} \cdot \frac{1}{18}$
$4 + 11$
$\frac{2}{3} + \frac{7}{9}$



Sigma Prep · sigmaprep.io/worksheets Name Integers and Rational NumbersAnswer keyVersion 1 Date Period Simplify. $- 7 + 12$ $5$ $\frac{2}{5} + \frac{9}{10}$ $\frac{13}{10}$ $\frac{1}{2} \cdot \frac{1}{4}$ $\frac{1}{8}$ $- 5 + 4$ $- 1$ $\frac{1}{2} + \frac{1}{2}$ $1$ $\frac{2}{3} \cdot \frac{2}{3}$ $\frac{4}{9}$ $- 10 + 3$ $- 7$ $\frac{1}{5} + \frac{3}{10}$ $\frac{1}{2}$ $\frac{1}{5} \div \frac{14}{15}$ $\frac{3}{14}$ $- 9 + 12$ $3$ $\frac{5}{6} + \frac{1}{9}$ $\frac{17}{18}$ $\frac{5}{6} \div \frac{1}{2}$ $\frac{5}{3}$ $- 9 + 2$ $- 7$ $\frac{3}{5} - \frac{3}{5}$ $0$ $\frac{1}{3} \cdot \frac{2}{3}$ $\frac{2}{9}$ $7 - 2$ $5$ $\frac{1}{4} + \frac{3}{4}$ $1$ $\frac{5}{6} \cdot \frac{1}{18}$ $\frac{5}{108}$ $4 + 11$ $15$ $\frac{2}{3} + \frac{7}{9}$ $\frac{13}{9}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Integers and Rational NumbersAnswer keyVersion 1

Date Period

Simplify.

$- 7 + 12$ $5$
$\frac{2}{5} + \frac{9}{10}$ $\frac{13}{10}$
$\frac{1}{2} \cdot \frac{1}{4}$ $\frac{1}{8}$
$- 5 + 4$ $- 1$
$\frac{1}{2} + \frac{1}{2}$ $1$
$\frac{2}{3} \cdot \frac{2}{3}$ $\frac{4}{9}$
$- 10 + 3$ $- 7$
$\frac{1}{5} + \frac{3}{10}$ $\frac{1}{2}$
$\frac{1}{5} \div \frac{14}{15}$ $\frac{3}{14}$
$- 9 + 12$ $3$
$\frac{5}{6} + \frac{1}{9}$ $\frac{17}{18}$
$\frac{5}{6} \div \frac{1}{2}$ $\frac{5}{3}$
$- 9 + 2$ $- 7$
$\frac{3}{5} - \frac{3}{5}$ $0$
$\frac{1}{3} \cdot \frac{2}{3}$ $\frac{2}{9}$
$7 - 2$ $5$
$\frac{1}{4} + \frac{3}{4}$ $1$
$\frac{5}{6} \cdot \frac{1}{18}$ $\frac{5}{108}$
$4 + 11$ $15$
$\frac{2}{3} + \frac{7}{9}$ $\frac{13}{9}$

How to do these

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

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

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

Where students go wrong

Adding the tops and the bottoms. Two thirds plus one quarter is not three sevenths. Only the tops get added, and only once the bottoms match.

Also called adding integers, subtracting negative numbers, operations with fractions or signed numbers.

What you can put on this worksheet

Adding and subtracting signed numbers: $9 - 6$ → $3$
Adding and subtracting fractions: $\frac{3}{4} + \frac{1}{8}$ → $\frac{7}{8}$
Multiplying and dividing fractions: $\frac{3}{4} \cdot \frac{1}{8}$ → $\frac{3}{32}$

Questions about these worksheets

Yes. Every adding integers and rational numbers 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 integers and rational numbers 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 3: adding and subtracting signed numbers, adding and subtracting fractions and multiplying and dividing fractions. Tick as many as you want and set how many of each, or let it spread them evenly.

Adding the tops and the bottoms. Two thirds plus one quarter is not three sevenths. Only the tops get added, and only once the bottoms match.

Pre-Algebra adding integers and rational numbers worksheet

Select your difficulty

Integers and Rational Numbers

Integers and Rational NumbersAnswer keyVersion 1

How to do these

Where students go wrong

What you can put on this worksheet

Questions about these worksheets

Are these adding integers and rational numbers worksheets free?+

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