Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Chapter 2 Fractions.

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Presentation transcript:

Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Chapter 2 Fractions

2-3-2 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Section 2.3 Equivalent Fractions

2-3-3 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Equivalent Fractions Equivalent fractions Fractions that represent the same quantity.

2-3-4 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Simplified Fraction Fraction simplified to lowest terms A fraction in which the numerator and denominator have no common factor other than 1.

2-3-5 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Simplifying a Fraction

2-3-6 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Example Simplify each fraction using the prime factorizations of the numerator and denominator.

2-3-7 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Solution Strategy

2-3-8 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Simplifying Fractions

2-3-9 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Example Simplify each fraction.

Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Solution Strategy

Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Write an Equivalent Fraction with a Larger Denominator

Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Example Write each fraction as an equivalent fraction with the indicated denominator. with a denominator of 35 with a denominator of 32

Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Solution Strategy Write each fraction as an equivalent fraction with the indicated denominator.

Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Like Fractions Fractions with the same denominator. Common Denominator Common multiple of all the denominators for a set of fractions. Least Common Denominator or LCD Least common multiple (LCM) of all the denominators for a set of fractions.

Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Comparing Fractions

Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Example Compare the fractions.

Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Solution Strategy Compare the fractions.

Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Solution Strategy Compare the fractions.

Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Example Apply your knowledge Frank’s instructor said on a recent math test that 16 of 24 students received a grade of B. a.What fraction represents the portion of the class that received B’s on the math test? Simplify the fraction. b.What fraction represents the portion of the class that did not receive B’s? Simplify the fraction.

Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Solution Strategy a. 16 represents the students who received a B. 24 is the total so the fraction is b. 24 – 16 = 8 represents the students who did not receive a B. 24 is the total so the fraction is