6th Grade Math Textbook, Fundamentals

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6-1

Multiply to form equivalent ratios.





So and are equivalent to.

3

7

6

14

9

21

9

21

3 •3

7 •3

3

7

3 •2

7 •2

3

7

6

14

1 Divide to form equivalent ratios.





So and are equivalent to.

18

24

6

8

18  3

24  3

18

24

6

8

18

24

9

12

9

12

18  2

24  2

2

softball

distance

baseball

distance

Ratio Forma: b

55 : 90

Fraction Form , b≠ 0

55

90

a

Word Form ato b b

55 to 90

Compare 7 pairs of yellow sneakers to

12 pairs of green sneakers.

7 to 12 7 : 12

7

12

1 Compare 25 calories burned in 3 minutes.

25 to 3 25 : 3

25

3

2

So to compare the base-to-base distances on a softball diamond to the base-to base

distances on a baseball diamond, write the ratio as 55 to 90, 55 : 90, or.

55

90

Ratios may compare likeor unlikequantities.

Update your skills. See pages 411 XI, 412 XII.

Ratio

Objective To express a ratio in different forms• To identify equivalent ratios

• To express ratios in simplest form

The distance from one base to the next on a softball

diamond is 55 feet. The distance from one base to the

next on a baseball diamond is 90 feet. What ratio compares

the base-to-base distances on a softball diamond with the

base-to-base distances on a baseball diamond?

A is a comparison of two quantities, aand b,

by division, where b≠ 0. These quantities are called

the of the ratio.

To compare the distances, use 55 and 90 to write the ratio.

You can express the same ratio in different forms.

terms

ratio

 have the same value. To find equivalent ratios, multiply or

divide both terms of the ratio by the same nonzero number.

Equivalent ratios

Writing Ratios The order of

terms in a ratio is the same order

as stated in the comparison.