Operations with Rational Numbers Worksheets

Calculate signed sums, differences, products or quotients using exact arithmetic.

Before you begin

Read signed numbers and fractions; recall multiplication and division facts.

Worked example

Calculate (1) + (-3/5). Give an exact answer.

  1. Use a common denominator, combine the signed numerators, and simplify.

Answer: 2/5

Check your result using the method in the example before moving to the next question.

Choose your level

  • Easy: Use small numbers and familiar denominators.
  • Medium: Use larger numbers and mixed representations.
  • Hard: Combine signed quantities or work backwards from a result.

Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.

Preview and print an easy set

Try six questions below, or choose a full set at your level.

1
Calculate (-3/2) + (5/2). Give an exact answer.
2
Calculate (5/4) − (-3/2). Give an exact answer.
3
Calculate (-2) × (3). Give an exact answer.
4
Calculate (3) ÷ (3/4). Give an exact answer.
5
Calculate (-3/2) + (-1/2). Give an exact answer.
6
Calculate (9/5) − (-4/5). Give an exact answer.

Answer Key

1. 12. 11/43. -64. 45. -26. 13/5

Full worksheet sets