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Simplifying ratios worksheets Grades 6–7

Write ratios in simplest form by dividing both parts by the GCF.

The front of the free simplifying ratios worksheet
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Free · Worked example · 60 problems · Answer key · US Letter

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How to do it

Divide both parts by their greatest common factor: 12 : 18 = 2 : 3.

8:32=1:48 : 32 = 1 : 4
GCF of 8 and 32 is 8\text{GCF of }8\ \text{and }32\ \text{is }8
8÷8:32÷8=1:48 \div 8 : 32 \div 8\quad =\quad 1 : 4divide both parts by the GCF

Example problems

  1. 10:5=10 : 5 =
  2. 12:18=12 : 18 =
  3. 42:30=42 : 30 =
  4. 24:4=24 : 4 =

Percents, ratios and rates

  1. Converting fractions, decimals and percents
  2. Finding the percent of a number
  3. What percent is it?
  4. Finding the whole from a percent
  5. Simplifying ratios
  6. Unit rates
  7. Solving proportions
  8. Percents, ratios and proportions mixed practice