# Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

## Presentation on theme: "Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc."— Presentation transcript:

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
Fraction Notation: Addition, Subtraction, and Mixed Numerals 4 4.1 Least Common Multiples 4.2 Addition, Order, and Applications 4.3 Subtraction, Equations, and Applications 4.4 Solving Equations: Using the Principles Together 4.5 Mixed Numerals 4.6 Addition and Subtraction of Mixed Numerals; Applications 4.7 Multiplication and Division of Mixed Numerals; Applications 4.8 Order of Operations and Complex Fractions Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 2

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
4.8 Order of Operations and Complex Fractions a Simplify expressions containing fraction notation using the rules for order of operations. b Simplify complex fractions. b Simplify fraction notation like n/n to 1, 0/n to 0, and n /1 to n. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 3

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
4.8 Order of Operations and Complex Fractions a Simplify expressions containing fraction notation using the rules for order of operations. Like expressions containing integers, expressions containing fraction notation follow the rules for order of operations. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 4

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
4.8 Order of Operations and Complex Fractions 1. Do all calculations within parentheses ( ), brackets [ ] , braces { }, absolute-value symbols, numerators, or denominators. 2. Evaluate all exponential expressions. 3. Do all multiplications and divisions in order from left to right. 4. Do all additions and subtractions in order from left to right. a Simplify expressions containing fraction notation using the rules for order of operations. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 5

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
4.8 Order of Operations and Complex Fractions a Simplify expressions containing fraction notation using the rules for order of operations. 1 Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 6

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
4.8 Order of Operations and Complex Fractions a Simplify expressions containing fraction notation using the rules for order of operations. 1 Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 7

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
4.8 Order of Operations and Complex Fractions a Simplify expressions containing fraction notation using the rules for order of operations. 3 Simplify. The parentheses here are not grouping symbols, so we begin by evaluating the exponential expression. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 8

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
4.8 Order of Operations and Complex Fractions a Simplify expressions containing fraction notation using the rules for order of operations. 3 Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 9

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
4.8 Order of Operations and Complex Fractions b Simplify complex fractions. A complex fraction is a fraction in which the numerator and/or denominator contain one or more fractions. Since a fraction bar represents division, complex fractions can be rewritten using the division symbol Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 10

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
4.8 Order of Operations and Complex Fractions b Simplify complex fractions. 4 Simplify. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 11

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
4.8 Order of Operations and Complex Fractions b Simplify complex fractions. 4 Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 12

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
4.8 Order of Operations and Complex Fractions b Simplify complex fractions. 4 Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 13

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
4.8 Order of Operations and Complex Fractions b Simplify complex fractions. When the numerator or denominator of a complex fraction consists of more than one term, first simplify the numerator and/or denominator separately. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 14

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
4.8 Order of Operations and Complex Fractions b Simplify complex fractions. 6 Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 15

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
4.8 Order of Operations and Complex Fractions b Simplify complex fractions. 6 Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 16

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
4.8 Order of Operations and Complex Fractions b Simplify complex fractions. 6 Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 17

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
4.8 Order of Operations and Complex Fractions b Simplify complex fractions. 7 Harvesting Walnut Trees. A woodland owner decided to harvest five walnut trees in order to improve the growing conditions of the remaining trees. The logs she sold measured What is the average length of the logs? Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 18

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
4.8 Order of Operations and Complex Fractions b Simplify complex fractions. 7 Harvesting Walnut Trees. Recall that to compute an average, we add the numbers and then divide the sum by the number of addends. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 19

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.
4.8 Order of Operations and Complex Fractions b Simplify complex fractions. 7 Harvesting Walnut Trees. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 20

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