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Proportions Objectives : 1) solve equations with variables in numerators 2) Solve equations with variables in denominators

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Page 1: Proportions Objectives: 1) solve equations with variables in numerators 2) Solve equations with variables in denominators

Proportions

Objectives: 1) solve equations with variables in numerators

2) Solve equations with variables in denominators

Page 2: Proportions Objectives: 1) solve equations with variables in numerators 2) Solve equations with variables in denominators

Terminology

• Ratio: comparison of two numbers by division

(commonly expressed as a fraction )– Ratios can also be expressed as a:b or a to b

• Proportion: equation stating two ratios are equal• To solve a proportion, multiply both sides by

the LCM of the denominators. This will eliminate all fractions.

Page 3: Proportions Objectives: 1) solve equations with variables in numerators 2) Solve equations with variables in denominators

Solve each equation.1) 2)

Page 4: Proportions Objectives: 1) solve equations with variables in numerators 2) Solve equations with variables in denominators

Try these.3) 4)

Page 5: Proportions Objectives: 1) solve equations with variables in numerators 2) Solve equations with variables in denominators

5) 6)

Page 6: Proportions Objectives: 1) solve equations with variables in numerators 2) Solve equations with variables in denominators

Try these.7) 8)

Page 7: Proportions Objectives: 1) solve equations with variables in numerators 2) Solve equations with variables in denominators

9)

Page 8: Proportions Objectives: 1) solve equations with variables in numerators 2) Solve equations with variables in denominators

10)

Page 9: Proportions Objectives: 1) solve equations with variables in numerators 2) Solve equations with variables in denominators

Try this.11)

Page 10: Proportions Objectives: 1) solve equations with variables in numerators 2) Solve equations with variables in denominators
Page 11: Proportions Objectives: 1) solve equations with variables in numerators 2) Solve equations with variables in denominators
Page 12: Proportions Objectives: 1) solve equations with variables in numerators 2) Solve equations with variables in denominators
Page 13: Proportions Objectives: 1) solve equations with variables in numerators 2) Solve equations with variables in denominators

Example 4: In a shipment of 400 parts, 14 were found to be defective. How many defective parts should be expected in a shipment of 100?

Page 14: Proportions Objectives: 1) solve equations with variables in numerators 2) Solve equations with variables in denominators