copyright © 2012, 2009, 2005, 2002 pearson education, inc. chapter 2 fractions

Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc.

Chapter 2

Fractions

Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc.

Adding and Subtracting Mixed Numbers and the

Order of Operations

2.8


Adding Mixed Numbers

When adding mixed numbers, it is best to add the fractions together and then add the whole numbers together.

1 29 2 .6 3

Example:

Add

LCD = 619 642 6

2 2 42 23 2 6

19 622 3

5 611

Add the fractions

first.

Add the whole numbers.


Subtracting Mixed Numbers

Subtracting mixed numbers is like adding mixed numbers.

2 1 9 7 .3 8

Example:

Add

LCD = 24

169 2437

24

1 3 37 78 3 24

29 317 8

13 24

2

Subtract the fractions

first.

Subtract the whole numbers.

2 8 169 93 8 24


Subtracting Mixed Numbers

1 7 5 3 .12 18

Example:

Add

LCD = 36

3943614336

7 2 143 318 2 36

35 36143 36

251 36

1 3 35 512 3 36

We borrow 1 from 5 to obtain

3 3 39 395 4 1 4 4 .36 36 36 36

3 14We cannot subtract 36 36

so we need to borrow.


Order of Operations

Order of Operations1. Perform operations inside any parentheses.2. Simplify any expressions with exponents.3. Multiply or divide from left to right.4. Add or subtract from left to right.

Do first

Do last

Example: Evaluate2

5 2 .8 5

5 48 25

1 12 5

110

Exponents

Multiplication


Order of Operations

Example: Evaluate 3 1 5 .4 4 3

3 1 34 4 5

3 1 54 4 3

3 34 20

Express division as multiplication.

Multiply.

15 320 20

Rewrite fractions using the LCD.

18 920 10

Add and simplify.

copyright © 2012, 2009, 2005, 2002 pearson education, inc. chapter 2 fractions

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