6th Grade Math Textbook, Fundamentals

To solve a division equation with fractions,

apply the Multiplication Property of Equality.

Solve:  8

•  • 8

n Simplify.

n 2

8

4

1

4

1

4

n

1

4

n

1

4

Lesson 5-15 for exercise sets. &KDSWHU 

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Solve: c 21

c• 21 •

c

c

c 49

Check: c 21

()(49) ^21 Substitute 49 for c.

 21

 21  21 Tr u e

(^3) ?
7
49
1 1
7

• 



(^3) ?
7
3
7
 49
1
 21
1
7
3
7
1


The dividend and the

divisor have different

signs, so the product

is negative.

7

3

7

3

3

7

3
1 7 Solve: 5 g

5 • g •

g

 2 g

(1)( (^2) )(1)(g)
2 g
Check: 5 g
 5  2  Substitute 2 for g.
 5 
5 •
 5
 5  5 Tr u e
?
1
2
?
?
?
 10
2
2
1
1
2
 5
2
 5
2
1
2
1
2
Use the Multiplicative
Property of 1 to
isolate g.
1
2
1
2
1
2
 5
2
1
2
1
2
1
2
1
2
1
(^22)
Remember:
Multiplication Property of Equality
Think If ab, then a• cb• c
n 1  8 n^148
4
Solve and check.
1 t 16 2.z 8 3. k 2 4. 30 c()
5.Discuss and Write Is it possible to estimate a value for the unknown in a multiplication
or division equation that contains fractions? Justify your answer with examples.
1
3
1
4
2
3
1
3
Multiply both sides
by to isolate^14 n.
Check:  8
n  8 Rewrite, using the symbol.
2  8 Substitute 2 for n.
2 • 8
8  8 Tr u e
Divide, multiply by the reciprocal of
the divisor.
?
(^41) 
?
(^14) 
1
4
n
1
4

To solve multiplication or division equations with positive and negative fractions,

use the sign rules for multiplying and dividing integers.