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Ratios & Proportions

Set two equal ratios and cross-multiply.

The rules

  • A ratio compares two quantities. Keep the same order on both sides.
  • In a proportion a/b = c/d, cross-multiply: ad = bc.
  • For part-to-part ratios, add the parts to get the whole.
  • Use units to check your setup.
Watch out: Mixing the order (miles/hours on one side and hours/miles on the other).
Worked example

A recipe uses 3 cups of flour for 24 cookies. How many cups for 40 cookies?

  1. 3/24 = x/40.
  2. 24x = 120, so x = 5.

Answer: 5

Try it yourself

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