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2. Lesson Menu Five-Minute Check (over Lesson 9–3) Main Idea and Vocabulary Example 1:Simplest Form Example 2:Simplest Form

3. Main Idea/Vocabulary I will write a fraction in simplest form. simplest form

4. Example 1 Simplest Form Xiang had a ribbon 24 inches long. Urmi had a ribbon 36 inches long. Xiang’s ribbon is the length of Urmi’s ribbon. Write in simplest form. 24 36 24 36 Step 1 Find the GCF of the numerator and denominator. factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 The GCF of 24 and 36 is 12.

5. Example 1 Simplest Form 36 ÷ 12 Step 2 Divide both the numerator and the denominator by the GCF. Dividing both the numerator and the denominator by the same number is equivalent to dividing by one. The appearance of the fraction changes, not its value. 24 36 = 24 ÷ 12 = 2 3 Answer: So, Xiang’s ribbon is the length of Urmi’s ribbon. 2 3 The GCF of 2 and 3 is 1.

6. Example 1 Simplest Form You can see from the models below that =. 24 36 2 3 24 36 2 3

7. 1.A 2.B 3.C 4.D Example 1 A. 2 3 B. 3 4 C. 6 7 D. 7 8 Which number shows in simplest form? 48 56

8. Example 2 Simplest Form Write in simplest form. 20 28 One Way: Divide by Common Factors 20 28 = 20 ÷ 2 28 ÷ 2 10 14 = Divide 20 and 28 by the common factor 2. 10 14 = 10 ÷ 2 14 ÷ 2 5 7 = Divide 10 and 14 by the common factor 2. Since 5 and 7 have no common factors other than 1, stop dividing.

9. Example 2 Simplest Form Write in simplest form. 20 28 Another Way: Divide by the GCF factors of 20: 1, 2, 4, 5, 10, 20 factors of 28: 1, 2, 4, 7, 14, 28 The GCF of 20 and 28 is 4. 20 28 = 20 ÷ 4 28 ÷ 4 = 5 7 Divide by the GCF 4.

10. Example 2 Simplest Form Answer: Using either method, written in simplest form is. 20 28 5 7 Check You can see from the models below that =. 20 28 5 7 20 28 5 7

11. 1.A 2.B 3.C 4.D Example 2 A. 1 3 B. 3 9 C. 7 9 D. 3 4 Write in simplest form. 21 63

12. End of the Lesson End Lesson

13. Resources Five-Minute Check (over Lesson 9–3) Image Bank Math Tool Chest Compare Fractions

14. 1.A 2.B 3.C 4.D Five Minute Check 1 (over Lesson 9–3) B., 4 10 6 15 A., 8 20 2 10 C., 16 40 18 40 D., 3 4 1 2 Which two fractions are equivalent to ? 2 5

15. 1.A 2.B 3.C 4.D Five Minute Check 2 (over Lesson 9–3) A., 12 24 18 36 B., 18 72 30 57 D., 12 42 48 96 C., 1 3 3 4 Which two fractions are equivalent to ? 6 12

16. 1.A 2.B 3.C 4.D Five Minute Check 3 (over Lesson 9–3) C. = 3 15 1 5 Find the number for that makes the fractions = equivalent. 1 515 A. = 5 15 1 5 D. = 4 15 1 5 B. = 1 5 3 5

17. 1.A 2.B 3.C 4.D Five Minute Check 4 (over Lesson 9–3) D. = 10 15 2 3 C. = 5 15 2 3 Find the number for that makes the fractions = equivalent. 2 315 A. = 4 15 2 3 B. = 2 3 7 8

18. End of Custom Shows