∴
Ratios
Elementary
Definition
A comparison of the relative sizes of two numbers, written as a:b or a/b.
Formulas
a : b = (a)/(b)
Ratio notation
a : b = ka : kb (k ≠ 0)
Property of ratios (multiplying both by same number)
Examples
Example 1
Simplify the ratio 12:18.
Example 2
A and B share $72,000 in ratio 2:3. How much does each get?
Applications
Cooking
Ingredient proportions
Maps
Scale (e.g., 1:50,000)
Finance
Investment allocation
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