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Solving proportions worksheets Grades 6–7

Solve proportions by cross multiplying and dividing.

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Free · Worked example · 36 problems · Answer key · US Letter

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How to do it

Cross multiply, then divide: 3/4 = x/20 gives 4x = 60, so x = 15.

x3=166x=8\dfrac{x}{3} = \dfrac{16}{6}\quad x = 8
x×6=3×16x \times 6 = 3 \times 16cross multiply
6x=486x = 48
x=8x = 8divide both sides by 6

Example problems

  1. 21x=73\dfrac{21}{x} = \dfrac{7}{3}
  2. 18x=94\dfrac{18}{x} = \dfrac{9}{4}
  3. x2=612\dfrac{x}{2} = \dfrac{6}{12}
  4. 23=x9\dfrac{2}{3} = \dfrac{x}{9}

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