rates ratios unit rate proportions

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Rates Ratios Unit Rate Proportions. A rate is a ratio that compares quantities in different units. To find a rate: Write ratio as a fraction Simplify. Ways to express a rate: 2 to 4 2:4 2 out of 4 2/4 Example of Solving: 2 to 4= 2/4=1/2. Rates. - PowerPoint PPT Presentation

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Page 1: Rates Ratios Unit Rate Proportions
Page 2: Rates Ratios Unit Rate Proportions

• A rate is a ratio that compares quantities in different units.

• To find a rate:– Write ratio as a

fraction– Simplify

• Ways to express a rate:– 2 to 4– 2:4– 2 out of 4– 2/4

Example of Solving:

2 to 4= 2/4=1/2

Page 3: Rates Ratios Unit Rate Proportions

• A ratio is a comparison of two quantities by division.

• You can write a ratio in different ways:– Arithmetic– Algebra

• Arithmetic- Ex: 10 to 15, 10:15, 10/15

• Algebra- Ex: a to b, a: b, a/b for

b doesn’t = 0To solve

-Write as a fraction-Simplify

Page 4: Rates Ratios Unit Rate Proportions

A proportion is an quality of two ratios- for example, 6/9=8/12

To solve:-Write as fraction-Multiply cross products

• Example:

2 16 = 3

4 = 2 4 2

2/6=1/3

Page 5: Rates Ratios Unit Rate Proportions

• A unit rate is a rate that has a denominator of 1.

• Examples of unit rates include unit prices, gas mileage, and speed

• Examples:

– A sprinter runs 200m in 25s.

– 200m = x m– 25sec. 1 sec.– 200(1)=25(x)– 200= 8m per second

25

Page 6: Rates Ratios Unit Rate Proportions