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Worksheets›Grade 7›Integers & rational numbers›Operations with rational numbers

Operations with Rational Numbers Worksheets

Free printable worksheets with answer keys. Pick a level, preview the questions, then open the sheet to swap or delete any single question.

Grade 7CCSS 7.NS.A.3Answer key includedPDF · Print
Open in generatorStart with an easy sheet

Easy: Adding and subtracting with like denominators

  1. 1.1011 − (−511) =
  2. 2.−58 + (−18) =
  3. 3.−56 − (−56) =
  4. 4.78 + (−38) =
  5. 5.34 + (−34) =
  6. 6.710 + 910 =
Preview shows 6 of 12 questions. Every sheet is new; open it to change any question.

Worksheet variations

The integer sign rules still apply to fractions. Find a common denominator to add or subtract, and multiply by the reciprocal to divide.

Easy411 + (−311) =Adding and subtracting with like denominatorsMedium14 − 35 =Unlike denominators and multiplicationHard113 + (−12) =Mixed numbers and division

How to solve it: a worked example

Simplify. Write each answer in simplest form.

  1. Start38 + (−58) =
  2. Common denominator38 + (−58)
  3. Then= −28 = −14
  4. Answer−14

Common mistakes to watch for

  • Adding the denominators as well as the numerators.
  • Dropping the negative sign when finding a common denominator.
  • Forgetting to flip the divisor when dividing.

Tip: tick “Step-by-step answer key” in the generator to print each step for marking.

Related worksheets

Adding & subtracting integersMultiplying & dividing integersSolving proportionsPercent increase & decreaseCombining like terms

FAQ

Is every worksheet different?

Yes. Numbers are generated each time, and the answer key is calculated for that sheet. Swap any single question and its answer updates too.

Can I mix operations with rational numbers with other skills?

Yes. In the generator, add more skills; each gets its own section on the sheet with its own instructions.

Is it free to print?

Yes. Generating and printing from the browser is free with no sign-up. PDF downloads need a free account.