Chapter 4

Ratios, Rates and Proportions

Simplifying ratios, working with rates, and solving proportion problems — with an interactive exercise.

A ratio compares quantities, e.g. $8:12$, which simplifies to $2:3$ (divide both by 4).

A rate compares two different units — like speed in km/h. In proportion, two ratios are equal. Example: if $3:5 = 9:?$, the missing value is $15$ (both parts multiplied by 3).

Remember

  • Simplify a ratio by dividing both parts by the same number.
  • Proportion keeps ratios equal.

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