6th Grade Math Textbook, Progress

Multiplication and Division

Equations with Fractions

8-12

Sadie deposits 
^35 
of the money she earned last

month in her savings account. If she deposits $75,

how much did Sadie earn last month?

To find how much, write and solve the equation:

^3

5


t$75.

^3

5


t
^3

5


$75
^3

5


 Divide both sides by 
^35 
,

t$75
^53 
 Multiply by the reciprocal of 


3

5 
.

25

t$75
^53 
 Simplify.

1

t$125

Check by replacing twith $125: 
^35 
t$75 
^35 
$125
$75 $75$75

Sadie earned $125 last month.

Let trepresent the amount

Sadie earned last month.

solution

Study these examples.

Solve: y 2 
^13 
 3 
^37 
.

y 2 
^13 
 2 
^13 
 3 
^37 
 2 
^13 
 Isolate the variable.

y 3 
^37 
 2 
^13 
 Compute to solve.

8 1

y
^274 

^73 

^81 


1 1

y 8

Solve: 
^13 
g
^13 
g
^89 
.

^2

3


g
^8

9


 Combine like terms.

^2

3


g
^2

3



^8

9



^2

3


 Isolate the variable.

g
^89 

^32 
 Compute to solve.

4 1

g
^89 

^32 



4

3




3 1

g 1 
^13 

using the Division Property of Equality.

1.1

8206-2_272-273 10/7/07 11:36 AM Page 272