AI generatedRatio, proportion and rates of changeKS3 / GCSE

Sharing an amount when the ratio contains decimals

Scale every part of the ratio to remove decimals, then simplify if possible.

  • Scale every part of the ratio to remove decimals, then simplify if possible.
  • Add the new whole-number ratio parts and divide the total by this sum.
  • Multiply by each part and check that the shares add to the stated total.

Example 1

Share £15 in the ratio .

Multiply both ratio parts by 10.Add the ratio parts.Divide the total by the number of parts.Multiply each part by the same value.Multiply each part by the same value.
£6.00, £9.00

Example 2

Share £28 in the ratio .

Multiply both ratio parts by 10.Add the ratio parts.Divide the total by the number of parts.Multiply each part by the same value.Multiply each part by the same value.
£12.00, £16.00

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

Your turn

Question 1

Share £45 in the ratio .

Check answer
Multiply both ratio parts by 10.Add the ratio parts.Divide the total by the number of parts.Multiply each part by the same value.Multiply each part by the same value.
£20.00, £25.00

Check: the shares add to £45.

Question 2

Share £66 in the ratio .

Check answer
Multiply both ratio parts by 10.Add the ratio parts.Divide the total by the number of parts.Multiply each part by the same value.Multiply each part by the same value.
£30.00, £36.00

Check: the shares add to £66.

Question 3

Share £91 in the ratio .

Check answer
Multiply both ratio parts by 10.Add the ratio parts.Divide the total by the number of parts.Multiply each part by the same value.Multiply each part by the same value.
£42.00, £49.00

Check: the shares add to £91.

Question 4

Share £45 in the ratio .

Check answer
Multiply both ratio parts by 10.Add the ratio parts.Divide the total by the number of parts.Multiply each part by the same value.Multiply each part by the same value.
£21.00, £24.00

Check: the shares add to £45.

Question 5

Share £68 in the ratio .

Check answer
Multiply both ratio parts by 10.Add the ratio parts.Divide the total by the number of parts.Multiply each part by the same value.Multiply each part by the same value.
£32.00, £36.00

Check: the shares add to £68.

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