Chapter 3 - Fractions

# 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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