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7.1 The Concept of Ratio. Remember to Silence Your Cell Phone and Put It In Your Bag!. Definition of Ratio. A ratio is a comparison of two numbers by division The divisor or denominator cannot be zero A ratio may be written as: x to y x : y x y . Equivalent ratios.
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7.1 The Concept of Ratio Remember to Silence Your Cell Phone and Put It In Your Bag!
Definition of Ratio • A ratio is a comparison of two numbers by division • The divisor or denominator cannot be zero • A ratio may be written as: • x to y x : y • x y
Equivalent ratios • Two ratios a to b and c to d are equivalent ratios if their respective fractions are equivalent or • Two ratios a b and c d are equivalent ratios if the quotients of the respective terms are the same
Ratios • Ratios may compare like quantities or unlike quantities • Ratios should be reduced unless the application dictates otherwise
Uses of Ratios • To compare like quantities • part to part • part to whole • whole to part
Uses of Ratios • To compare unlike quantities • Rates • “per” • Change in quantities wrt time – ex. speed • Unit pricing • Scale drawings • Costs of … • Sports’ Statistics