Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 3 Adding and Subtracting Fractions

Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 3.1 Adding and Subtracting Like Fractions

Martin-Gay, Basic Mathematics, 4e 33 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Adding Like Fractions Fractions with the same denominator are called like fractions. Fractions that have different denominators are called unlike fractions.

Martin-Gay, Basic Mathematics, 4e 44 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Adding Like Fractions Adding Like Fractions (Fractions with the Same Denominator) To add like fractions, add the numerators and write the sum over the common denominator. If a, b, and c represent nonzero whole numbers, we have + =

Martin-Gay, Basic Mathematics, 4e 55 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Examples Add and simplify. a. b.

Martin-Gay, Basic Mathematics, 4e 66 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC COLLEGE MATHEMATICS, 3e – Slide #17 Practice Problems Add and simplify P 175 Adding Like Fractions

Martin-Gay, Basic Mathematics, 4e 77 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Subtracting Like Fractions Subtracting Like Fractions (Fractions with the Same Denominator) To subtract like fractions, subtract the numerators and write the difference over the common denominator. If a, b, and c represent nonzero whole numbers, then - =

Martin-Gay, Basic Mathematics, 4e 88 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Examples Subtract and simplify. a. b.

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 #17 Practice Problems Add and simplify P 175 Subtracting Like Fractions

Martin-Gay, Basic Mathematics, 4e 10 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Solving Problems by Adding or Subtracting Like Fractions Find the perimeter of the following rectangle. Rectangle Perimeter

Martin-Gay, Basic Mathematics, 4e 11 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC COLLEGE MATHEMATICS, 3e – Slide #17 Practice Problems Add and simplify. 7. If a piano student practices the piano 3/8 of an hour in the morning and 1/8 of an hour in the evening, how long did she practice that day? 8. P Solving Problems by Adding or Subtracting Like Fractions A jogger ran 13/4 miles on Monday and 7/4 miles on Wednesday. How much farther did he run on Monday than on Wednesday?

Martin-Gay, Basic Mathematics, 4e 12 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example A recipe calls for 1/3 of a cup of brown sugar and 2/3 of a cup of white sugar. How much total sugar is in the recipe? Total sugar = brown sugar + white sugar The total amount of sugar needed in the recipe is 1 cup.

Martin-Gay, Basic Mathematics, 4e 13 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. DONE