1. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 2.1 Introduction to Fractions and Mixed Numbers

2. Martin-Gay, Basic Mathematics, 4e 22 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Identifying Numerators and Denominators In a fraction, the top number is called the numerator and the bottom number is called the denominator. The bar between the numbers is called the fraction bar. NamesFractionMeaning Numerator number of parts being considered Denominator number of equal parts in the whole

3. Martin-Gay, Basic Mathematics, 4e 33 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. P 109-110 Numerator is Denominator is Numerator is Denominator is 9 2 10 17 Practice Problems Simplify Identifying Numerators and Denominators and Reviewing Division Properties for 0 and 1

4. Martin-Gay, Basic Mathematics, 4e 44 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example Write the fraction to represent the shaded part of the figure. In this figure, 4 out of the 7 equal parts are shaded. Thus the fraction is.

5. Martin-Gay, Basic Mathematics, 4e 55 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example 109 Write the fraction to represent the shaded part of the diagram. In this diagram, 3 out of the 10 equal parts are shaded. Thus the fraction is.

6. Martin-Gay, Basic Mathematics, 4e 66 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example Draw a figure and then shade a part of it to represent the fraction. Since the denominator is 6, we divide the rectangle into 6 equal parts. Then we shade 5 of the equal parts.

7. Martin-Gay, Basic Mathematics, 4e 77 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC COLLEGE MATHEMATICS, 3e – Slide #6 Practice Problems Write a fraction to represent the shaded part of the following. P 113 7. 8. Writing Fractions to Represent Shaded Areas of Figures 110

8. Martin-Gay, Basic Mathematics, 4e 88 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC COLLEGE MATHEMATICS, 3e – Slide #6 Practice Problems Write a fraction to represent the shaded part of the following. P 111 9. 10. Writing Fractions to Represent Shaded Areas of Figures

9. Martin-Gay, Basic Mathematics, 4e 99 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC COLLEGE MATHEMATICS, 3e – Slide #6 Practice Problems Draw and shade a part of a figure to represent each fraction. P 111 11. 12. Create Shaded Areas of Figures To Represent each Fractions

10. Martin-Gay, Basic Mathematics, 4e 10 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Identifying Proper Fractions, Improper Fractions and Mixed Numbers 112 DefinitionExample 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.

11. Martin-Gay, Basic Mathematics, 4e 11 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Examples 112 Identify each number as a proper fraction, improper fraction, or mixed number. a. b. c. a proper fraction a mixed number an improper fraction

12. Martin-Gay, Basic Mathematics, 4e 12 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC COLLEGE MATHEMATICS, 3e – Slide #5 P 112 Practice Problem 14 Identify each number as a proper fraction, improper fraction, or mixed number. Identifying Proper Fractions, Improper Fractions, and Mixed Numbers

13. Martin-Gay, Basic Mathematics, 4e 13 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Mixed Numbers and Improper Fractions

14. Martin-Gay, Basic Mathematics, 4e 14 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Mixed Numbers and Improper Fractions

15. Martin-Gay, Basic Mathematics, 4e 15 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Examples Write each as a mixed number or a whole number. a. b. c.

16. Martin-Gay, Basic Mathematics, 4e 16 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC COLLEGE MATHEMATICS, 3e – Slide #6 Practice Problems Write a fraction to represent the shaded part of the following. P 113 15. 16. Identifying Proper Fractions, Improper Fractions, and Mixed Numbers

17. Martin-Gay, Basic Mathematics, 4e 17 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC COLLEGE MATHEMATICS, 3e – Slide #5 P 113 Practice Problem 17 Write each as an improper fraction Identifying Proper Fractions, Improper Fractions, and Mixed Numbers

18. Martin-Gay, Basic Mathematics, 4e 18 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC COLLEGE MATHEMATICS, 3e – Slide #5 P 114 Practice Problem 18 Write each as an mixed number or a whole number Identifying Proper Fractions, Improper Fractions, and Mixed Numbers

19. Martin-Gay, Basic Mathematics, 4e 19 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. DONE