RATIOS & PROPORTIONS By: Ms. D. Kritikos.

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Presentation transcript:

RATIOS & PROPORTIONS By: Ms. D. Kritikos

A ratio is a comparison of the numbers of two sets. Ratio of ‘s to ‘s. 3 to 5 Ratio of ‘s to ‘s. 5 to 3

In the following problems, express the ratio of the number of the first set to the number of the second set in two ways: as a ratio and as a fraction.

PRACTICE PROBLEMS: SET #1 SET #2 1. ( , ) (*, , ) 2 to 3 1. ( , ) (*, , ) 2 to 3 2. (Jim, John) (Jo, Sue, Ann, Kay) 2 to 4 OR 1 to 2 Ratios can be reduced just like fractions.

PRACTICE PROBLEMS: SET #1 SET #2 3. (1, 2, 3, 4) (a, b, c) 4 to 3 4. (Bob, Dick, Al) (1st, 2nd, 3rd) 3 to 3 OR 1 to 1

PRACTICE PROBLEMS: (Express each as a ratio and a fraction) 5. 7 runs in 9 innings 7 to 9 6. 3 teachers for 72 students 3 to 72 OR 1 to 24 7. 6 goals for 9 shots 6 to 9 OR 2 to 3

A proportion expresses the equality of two rates. is a proportion because is true. 12 is equal to 12 Remember to cross multiply. is not a proportion because is false. 20 is not equal to 24

Practice Problems: (State if a proportion and explain why or why not.) Is not a proportion because is false. 32 does not equal 35 is a proportion because is true. 36 equals 36

How to solve proportions EXAMPLE#1: EXAMPLE#2: Cross multiply 5n=120 48=3n n=24 16=n

Practice Problems: Problem#1: Problem#2: 120=6n 24n=120 20=n n=5 Cross multiply 120=6n 24n=120 20=n n=5

to practice on the worksheet. It’s your turn now… to practice on the worksheet.