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# Ratio- compares one number to another. PowerPoint PPT Presentation

2 .6 Equivalent Ratios. Ratio- compares one number to another. Lowest terms- ratios are reduced to the lowest common denominator. A ratio is the quotient (dividing) of two numbers and is used to compare one number to another. The order of the numbers in a ratio is important.

Ratio- compares one number to another.

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#### Presentation Transcript

2.6

Equivalent Ratios

Ratio- compares one number to another.

Lowest terms- ratios are reduced to the lowest common denominator.

A ratio is the quotient (dividing) of two numbers and is used to compare one number to another. The order of the numbers in a ratio is important.

Ratios can be written in three different ways:

1 to 3 1 : 3 1/3

Write the ratio in 2 other ways:

4 =

7

3 :16 =

5 to 8 =

Ratios can be reduced to lowest terms:

the ratio 2 = 1

8 4

2 to 8 = 1 to 4, 2:8 = 1:4

8 ft to 5 ft

The ratio is 8 to 5, 8 , 8:5

5

Equivalent Ratios

To find a ratio equivalent to another ratio you must multiply by 1: 2/2, 3/3, 4/4, etc

4 × 2 = 8

9 2 18

Another way to find a ratio equivalent to another ratio is to simplify on your calculator (division).

a b/c key and EXE.

20 = 2

30 3

To find if 2 ratios are equivalent to each other, you calculate the cross product.

180 180

10 = 15

12 18

Find equivalent ratios for each fraction.

4 8

511

1820

3630

1513

2715

Are the ratios equivalent?

2 = 68 = 37 = 6

9 239 49 7

Do Now

2:814:12

3:4512:4

100:30023:25

10:817:12