Chapter 6 Fractions and Literal Numbers. Overview Review Fractions but with Literal Numbers Prime...

Chapter 6

Fractions and Literal Numbers

Fractions and Literal Numbers

• Overview Review Fractions but with Literal Numbers

• Prime Factors Terms can have both Literal & Real

Numbers Find Prime factors of both Real and Literal

numbers Examples at top of page 125

Fractions and Literal Numbers

• Lowest Common Multiple (LCM) Factor each denominator to prime terms Determine Max number of times a prime

factor appears in any one term Multiple the resulting Prime factors found in

previous step. This is the Least Common Multiple (LCM)– use as common denominator

Fractions and Literal Numbers

• Lowest Common Multiple (LCM) For each fraction multiply both numerator

and denominator by factor needed to make denominator = LCM

Then treat as fractions with common denominator

• Example problems on page 126

• Practice Problems Odd ones have answers – back of book

Multiplication/Division of Monomials

• Multiplication of Monomials Multiply the real numbers then multiple the

literals by using exponents• 4a2b *3ab3 3*4 = 12 a2 *a = a3 b*b3 =b4

• Thus 12 a3 b4

Examples on page 127

• Division of Monomials Find Prime factors in parts of fraction

Multiplication/Division of Monomials

• Division of Monomials Cancel the prime factors that are in both

numerator and denominator What’s left is the answer Examples on pages 127 and 128 Work odd practice problems until you

understand

Multiplication of Fractions

• Steps Cancel factors that are common to

Numerator and denominator Multiply the remaining numerator factors

• This is the numerator of the answer

Multiply the remaining denominator factors• This is the denominator of the answer

• Example and practice problems Page130

Bill R. Deem and Tony ZanniniElectronics and Computer Math, Eighth Edition

Copyright ©2006 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458

All rights reserved.

Division of Fractions

Add/Subtract Fractions

• After you have common denominators: Add/subtract numerators Reduce answer

• Changing fractions to have common denominators Find Least Common Denominator

• Factor each denominator to prime terms

• Determine Max number of times a prime factor appears in any one term

Add/Subtract Fractions

• Changing fractions to have common denominators Find Least Common Denominator

• Multiple the resulting Prime factors found in previous step. This is the Least Common Multiple (LCM)– use as common denominator

Then treat as fractions with common denominator

Bill R. Deem and Tony ZanniniElectronics and Computer Math, Eighth Edition

Copyright ©2006 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458

All rights reserved.

Add/Subtract Fractions

Bill R. Deem and Tony ZanniniElectronics and Computer Math, Eighth Edition

Copyright ©2006 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458

All rights reserved.

Add/Subtract Fractions