Ratios And Proportions
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Ratios and Proportions p.785 By Robert C. Gonzalez CE Instructor, San Antonio College
Key Terms
Ratio= A mathematical way of comparing two quantities. Example: 9 out of 10 dentists prefer toothpaste XYZ.
Rate= Compares two quantities with different units that cannot be converted into a common unit. Example: 1 Dollar per 10 Peso.
Proportion= a statement that two ratios are equal. Example: 1 dollar = 2 dollars 10 Pesos 20 Pesos
Three ways to write a ratio 1. 2. 3.
9 out of 10 students 9:10 9 (fraction form) 10
Possible Traps
Be sure to write your ratio in the SAME ORDER it is written.
Example: 3 out of 4 children should be written as 3:4 NOT 4:3.
Be sure to simplify IF POSSIBLE.
Example: 10:20 should be reduced to 1:2
Steps 1. 2. 3.
4.
Figure out what your rates are. Line up the units. Cross multiply number to number, NOT number to letter. Divide by the unused number.
Key Terms
Ratio= A mathematical way of comparing two quantities. Example: 9 out of 10 dentists prefer toothpaste XYZ.
Rate= Compares two quantities with different units that cannot be converted into a common unit. Example: 1 Dollar per 10 Peso.
Proportion= a statement that two ratios are equal. Example: 1 dollar = 2 dollars 10 Pesos 20 Pesos
Three ways to write a ratio 1. 2. 3.
9 out of 10 students 9:10 9 (fraction form) 10
Possible Traps
Be sure to write your ratio in the SAME ORDER it is written.
Example: 3 out of 4 children should be written as 3:4 NOT 4:3.
Be sure to simplify IF POSSIBLE.
Example: 10:20 should be reduced to 1:2
Steps 1. 2. 3.
4.
Figure out what your rates are. Line up the units. Cross multiply number to number, NOT number to letter. Divide by the unused number.
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