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Simplifying ratios

Divide both parts of a ratio to write it in simplest form.

Practice + answer key · 2 pages

Worksheet settings12 questions · 2 columns · A4
Ratio terms

Both positive ratio terms are selected from this range.

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mathsprig-1
Content ID
a3a06ba9
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1 page
Simplifying ratiosSimplifying ratios. Practice. Simplify 7:18. Simplify 5:12. Simplify 4:20. Simplify 28:13. Simplify 21:10. Simplify 26:16. Simplify 5:15. Simplify 19:10. Simplify 8:23. Simplify 6:22. Simplify 19:14. Simplify 13:29.Name __________________________Date _______________Simplifying ratiosSimplify each ratio.Worked exampleSimplify 18:24. → 3:4The greatest common factor of 18 and 24 is 6.1.Simplify 7:18.2.Simplify 5:12.3.Simplify 4:20.4.Simplify 28:13.5.Simplify 21:10.6.Simplify 26:16.7.Simplify 5:15.8.Simplify 19:10.9.Simplify 8:23.10.Simplify 6:22.11.Simplify 19:14.12.Simplify 13:29.MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 1mathsprig-1 · mathsprig-v1 · a3a06ba9
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Practice + answer key · 2 pages

Ratios & percentages

What you’ll practice

Write a two-part ratio in its smallest whole-number terms.

Find the greatest factor shared by the two numbers, then divide both by it. Keep their order: 2:3 and 3:2 compare the quantities differently.

How this skill works

Find the greatest common factor of the two terms.

Divide both terms by it. Keep their order: 2:3 and 3:2 describe different comparisons.

Worked example

Simplify 18:24.
  1. The greatest common factor of 18 and 24 is 6.
  2. 18 ÷ 6 = 3 and 24 ÷ 6 = 4.
  3. The simplified ratio is 3:4.

Answer: 3:4

Teaching notes

  • If the greatest common factor is 1, the ratio is already simplified.
Practice questions
  1. Simplify 7:18.
  2. Simplify 5:12.
  3. Simplify 4:20.
  4. Simplify 28:13.
  5. Simplify 21:10.
  6. Simplify 26:16.
  7. Simplify 5:15.
  8. Simplify 19:10.
  9. Simplify 8:23.
  10. Simplify 6:22.
  11. Simplify 19:14.
  12. Simplify 13:29.
Answers and steps
  1. 7:18
    1. The greatest common factor is 1.
    2. Divide both terms by 1: 7:18 = 7:18.
  2. 5:12
    1. The greatest common factor is 1.
    2. Divide both terms by 1: 5:12 = 5:12.
  3. 1:5
    1. The greatest common factor is 4.
    2. Divide both terms by 4: 4:20 = 1:5.
  4. 28:13
    1. The greatest common factor is 1.
    2. Divide both terms by 1: 28:13 = 28:13.
  5. 21:10
    1. The greatest common factor is 1.
    2. Divide both terms by 1: 21:10 = 21:10.
  6. 13:8
    1. The greatest common factor is 2.
    2. Divide both terms by 2: 26:16 = 13:8.
  7. 1:3
    1. The greatest common factor is 5.
    2. Divide both terms by 5: 5:15 = 1:3.
  8. 19:10
    1. The greatest common factor is 1.
    2. Divide both terms by 1: 19:10 = 19:10.
  9. 8:23
    1. The greatest common factor is 1.
    2. Divide both terms by 1: 8:23 = 8:23.
  10. 3:11
    1. The greatest common factor is 2.
    2. Divide both terms by 2: 6:22 = 3:11.
  11. 19:14
    1. The greatest common factor is 1.
    2. Divide both terms by 1: 19:14 = 19:14.
  12. 13:29
    1. The greatest common factor is 1.
    2. Divide both terms by 1: 13:29 = 13:29.