6th Grade Math Textbook, Progress

Equivalent Ratios

11-2

Equivalent ratios have the same value.

Equivalent ratios can be written as equivalent fractions.

The ratio of circles to squares is 5 to 15.

Write an equivalent ratio for 5 to 15.

To write an equivalent ratio:


Write the given ratio as a fraction.


Multiplyor divideboth the numerator

and the denominator by the same

nonzero number.


Express the result as a fraction.

An equivalent ratio for 5 to 15 is 1 to 3.

You can use equivalent ratios to solve problems.

At 1 table Sue Ann can place 6 chairs. How many chairs

can she place at 3 tables?

To find the number of chairs, n, write equivalent ratios.

^3

n

t

c

a

h

b

a

le

irs

s

So Sue Ann can place 18 chairs at 3 tables.

Study this example.

Write three equivalent ratios for 1 : 8.

1 : 8


1

8

 

1

8




1

8





2

2




1

2

6

 

1

8




1

8





3

3




2

3

4

 

1

8




1

8





4

4




3

4

2





1

2

6

, 

2

3

4

, and 

3

4

2

are equivalent ratios for 1 : 8.

3

18

1 
 3

6  3

1 table

6 chairs



1

5

5





1

. 5
5

.



5

5





1

. 5
5

.



5

5




1

3



number of circles

number of squares

Divide both terms by

the same nonzero number.

1.2

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