6th Grade Math Textbook, Fundamentals

Lesson 6-1 for exercise sets. &KDSWHU 

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Is 1.2 : 1.8 equivalent to 2.4 : 3.6?

Simplify both ratios.

 Tr u e

So 1.2 : 1.8 is equivalent to 2.4 : 3.6.

12

18

?



24

36

2

3

2

3

?



2.4( 10 )

3.6( 10 )

1. 2( 10 )


2. 8( 10 )

Write the ratio in fraction form.

Multiply each term by 10 to form integers.

3

Remember:The greatest common factor (GCF)

of two numbers is the greatest number that is a

factor of both numbers.

Simplify the ratio 55 : 90.

55 : 90  Write the ratio in fraction form.



 simplest form

So in simplest form, 55 : 90 is 11 : 18.

Divide each term

by the GCF.

55  5

90  5

55

90

11

18

1

Think

18 12  66 ^23 and^24 36  1212  32

Simplify the ratio 1 : 3.

1: 3

 •

 Divide by the GCF.

 simplest form

So in simplest form, 1 : 3 is 1 : 2.^78 34

4

15

15

8

7

8

1

2

15

4

15

8

3

4

60  60

120  60

Multiply by the reciprocal

of the divisor.

Rename each term as a

fraction greater than 1.

3

4

7

8

2

Express each ratio in simplest form.

1.36 to 9 2.14 : 16 3.12 : 15 4.625 : 125 5.2.7 : 0.6 6.8:

7.Write the ratio to compare 11 striped shirts to 8 plaid shirts

in three different ways.

Write three equivalent ratios for each. Explain how you found each ratio.

8. 
   
   
   
   9. 
      
      
      
      10. 
          
          
          
          11. 
              
              
              
              12. 
                  
                  
                  
                  13. : 1
                  
                  
                  
                  
              
              
              
              
          
          
          
          
      
      
      
      
   
   
   
   

14.Compare the ratios and. Write , , or .

15.An animal shelter has 12 cats and 9 dogs. If 1 cat and 1 dog are adopted,

would the ratio of cats to dogs remain the same? Explain.

16.Discuss and Write Explain why 1 does not represent a ratio and

1 : does represent a ratio. Then tell how you express 1 as a ratio.^373737

3

7

1. 4
   16


2. 2
   14

0.5

0.25

0.3

0.12

32

16

1

3

4

9

5

8

4

9

4

5

A ratio can be simplified by using the greatest

common factor (GCF).