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4. Contents Lesson 5-3Simplifying Fractions

5. Lesson 3 Contents Example 1Write Fractions in Simplest Form Example 2Write Fractions in Simplest Form Example 3Use Fractions to Solve a Problem

6. Example 3-1a Write in simplest form. First, find the GCF of the numerator and denominator. factors of 12: 1, 2, 3, 4, 6, 12 factors of 45: 1, 3, 5, 9, 15, 45 The GCF of 12 and 45 is 3. Then, divide the numerator and the denominator by the GCF.

7. Example 3-1a CheckMultiply the numerator and denominator of the answer by the GCF. The result should be the original fraction. Answer: So, written in simplest form is

8. Example 3-1b Write in simplest form. Answer:

9. Example 3-2a Write in simplest form. Answer: written in simplest form is

10. Example 3-2b Write in simplest form. Answer:

11. Example 3-3a MUSIC Two notes form a perfect fifth if the simplified fraction of the frequencies of the notes equals If note Hertz and note Hertz, do they form a perfect fifth? 111 111 The slashes mean that part of the numerator and part of the denominator are both divided by the same number. For example,

12. Example 3-3a Answer: The fraction of the frequency of the notes D and G is So, the two notes do form a perfect fifth.

13. Example 3-3b MARBLES In a bag of 96 marbles, 18 of the marbles are black. Write the fraction of black marbles in simplest form. Answer:

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15. Online Explore online information about the information introduced in this chapter. Click on the Connect button to launch your browser and go to the Mathematics: Applications and Concepts, Course 2 Web site. At this site, you will find extra examples for each lesson in the Student Edition of your textbook. When you finish exploring, exit the browser program to return to this presentation. If you experience difficulty connecting to the Web site, manually launch your Web browser and go to www.msmath2.net/extra_examples.

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