AI generatedNumberKS3 / GCSE

Calculations with negative fractions

Use the normal rules for fractions together with the sign rules.

  • Use the normal rules for fractions together with the sign rules.
  • For addition or subtraction, use a common denominator and keep the signs with the numerators.
  • For multiplication or division, equal signs give a positive result and different signs give a negative result.

Example 1

Calculate. Give your answer in simplest form.

Adding a negative subtracts it.Use the common denominator and combine signed numerators.

Example 2

Calculate. Give your answer in simplest form.

Subtracting a negative adds its positive opposite.Use the common denominator and combine signed numerators.

Remember
Use the worked steps to check your method, not just the final answer.

Your turn

Question 1

Calculate. Give your answer in simplest form.

Check answer
Different signs give a negative product.
Question 2

Calculate. Give your answer in simplest form.

Check answer
Multiply by the reciprocal of the divisor.Two negative factors give a positive result.
Question 3

Calculate. Give your answer in simplest form.

Check answer
Adding a negative subtracts it.Use the common denominator and combine signed numerators.
Question 4

Calculate. Give your answer in simplest form.

Check answer
Subtracting a negative adds its positive opposite.Use the common denominator and combine signed numerators.
Question 5

Calculate. Give your answer in simplest form.

Check answer
Different signs give a negative product.
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