6th Grade Math Textbook, Fundamentals

 &KDSWHU

5-15

Both methods result in the same solution.

Check: x 12

• 16 12 Substitute 16 for x.

12 Simplify.

12 Multiply.

12  12 Tr u e

So Kiera spent 16 hours volunteering at the natural history museum on May 5.

?

3 • 4?

1 • 1

(^3) ?
4
16
1
1
4

• 
  

3

4

3

4

Method 2 Use the Division Property of Equality

Solve: x 12

 Divide both sides by to isolate x.

x• 12 •

x • Simplify.

x Multiply.

x 16

12

3

4

3

4

3

4

x

Divide, multiply by

the reciprocal.

4

3

1

12

1

4

4 • 4

1 • 1

4

3

4

3

3

4

3

4

3

4

Method 1 Multiply by the Reciprocal

Solve: x  12

• x • 12

x • Simplify.

x Multiply.

x 16

3

4

12

1

4

4

3

1

4 • 4

1 • 1

4

3

4

3

3

4

Update your skills. See page 414 XVII.

Multiplication and Division Equations

with Fractions

Objective To apply the Division Property of Equality to solve multiplication equations with

fractions • To apply the Multiplication Property of Equality to solve division equations with fractions

On May 6, Kiera volunteered for 12 hours at the

natural history museum. This was as much time

as she had volunteered the day before. How many
hours did she spend volunteering at the natural
history museum on May 5?

To find the number of hours, write and solve a
multiplication equation.

Let xthe number of hours volunteered on May 5.

x 12

To solve a multiplication equation with fractions, use either of these methods:

3

4

3

4

Multiply both sides by

the reciprocal of.^34

Think

(^34) is the coefficient of x.
Think
(^34) x (^34) • x
Remember:
Division Property of Equality
If aband c0, then acbc.