Chapter 3 - Fractions - Martin-Gay, Basic College...

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Unformatted text preview: Martin-Gay, Basic College Mathematics with Early Integers 1 Chapter 3 Fractions Martin-Gay, Basic College Mathematics with Early Integers 2 Martin-Gay, Basic College Mathematics with Early Integers 2 3.1 Introduction to Fractions and Mixed Numbers 3.2 Factors and Simplest Form 3.3 Multiplying and Dividing Fractions 3.4 Adding and Subtracting Like Fractions and Least Commo 3.5 Adding and Subtracting Unlike Fractions 3.6 Complex Fractions, Order of Operations on Mixed Numb 3.7 Operations on Mixed Numbers Chapter Sections Martin-Gay, Basic College Mathematics with Early Integers 3 3.1 Introduction to Fractions and Mixed Numbers Martin-Gay, Basic College Mathematics with Early Integers 4 Martin-Gay, Basic College Mathematics with Early Integers 4 Identifying Numerators and Denominators Names Fraction Meaning Numerator number of parts being considered Denominator number of equal parts in the whole 6 5 EXAMPLE EXAMPLE Simplify . 1 13 SOLUTION SOLUTION = 1 13 13 Martin-Gay, Basic College Mathematics with Early Integers 5 Martin-Gay, Basic College Mathematics with Early Integers 5 Writing Fractions to Represent Parts of Figures EXAMPLE EXAMPLE Write a fraction to represent the shaded part of the following rectangle. SOLUTION SOLUTION 7 Equal Parts 4 Parts Considered 7 4 = Answer Martin-Gay, Basic College Mathematics with Early Integers 6 Martin-Gay, Basic College Mathematics with Early Integers 6 Identifying Proper Fractions, Improper Fractions, and Mixed Numbers Definition Example Proper Fraction : A fraction whose numerator is less than its denominator. Numerator Denominator Improper Fraction : A fraction whose numerator is greater than or equal to its denominator. 4 10 = 4 2 2 = 8 3 Martin-Gay, Basic College Mathematics with Early Integers 7 Martin-Gay, Basic College Mathematics with Early Integers 7 Writing Mixed Numbers as Improper Fractions Step Example Step 1 : Multiply the denominator of the fraction by the whole number. Step 2 : Add the numerator of the fraction to the product from step 1. Step 3 : Write the sum from Step 2 as the numerator of the improper fraction over the original denominator. 4 3 6 24 4 6 = 27 3 24 = + 4 27 24 4 6 = 27 3 24 = + (step 1) (step 2) (step 2) (step 3) (step 1) Martin-Gay, Basic College Mathematics with Early Integers 8 Martin-Gay, Basic College Mathematics with Early Integers 8 Writing Improper Fractions as Mixed Numbers or Whole Numbers Step Example Step 1 : Divide the Denominator into the numerator. Step 2 : The whole number part of the mixed number is the quotient. The fraction part of the mixed number is the remainder over the original denominator 7 13 13 7 1 7- 6 R 6 r denominato original remainder quotient 7 6 1 Martin-Gay, Basic College Mathematics with Early Integers 9 3.2 Factors and Simplest Form Martin-Gay, Basic College Mathematics with Early Integers 10 Martin-Gay, Basic College Mathematics with Early Integers 10 Finding Factors of Numbers Definition Example Factors...
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Chapter 3 - Fractions - Martin-Gay, Basic College...

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