1. 4-5 Equivalent Fractions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

2. Write all the different ways to express Do Now 1 3 ___

3. 4-5 Equivalent Fractions SWBAT write equivalent fractions. Objective:

4. 4-5 Equivalent Fractions Black Red Orange Yellow Pink Green Light Blue Blue Purple

5. 4-5 Equivalent Fractions = = 1212 2424 4848 Fractions that represent the same value are equivalent fractions. 1 half 2 fourths 4 eighths So are equivalent fractions.

6. 4-5 Equivalent Fractions Can you come up with 2 examples of equivalent fractions?

7. 4-5 Equivalent Fractions Ex. 1: Finding Equivalent Fractions Find an equivalent fractions for. 1 4 ___

8. 4-5 Equivalent Fractions Ex. 2 Find two equivalent fractions for. 4 6 __

9. 4-5 Equivalent Fractions TOYO 1 Find two equivalent fractions for. 8 9 ___

10. 4-5 Equivalent Fractions Ex. 3: Multiplying and Dividing to Find Equivalent Fractions Find the missing number that makes the fractions equivalent. 3 5 __ 20 ___ = 3 5 ______ In the denominator, 5 is multiplied by 4 to get 20. 4 4 Multiply the numerator, 3, by the same number, 4. = 12 20 ____ So is equivalent to. 3 5 __ 12 20 ___

11. 4-5 Equivalent Fractions Ex. 4: Multiplying and Dividing to Find Equivalent Fractions Find the missing number that makes the fractions equivalent. 4 5 __ 80 ___ = 4 5 ______ In the numerator, 4 is multiplied by 20 to get 80. 20 Multiply the denominator by the same number, 20. = 80 100 ____ So is equivalent to. 4 5 __ 80 100 ___

12. 4-5 Equivalent Fractions Every fraction has one equivalent fraction that is called the simplest form of the fraction. V.I.P. – Very Important Point A fraction is in simplest form when the numerator and the denominator have no common factors other than 1. Example 5 will show three methods for writing a fraction in simplest form.

13. 4-5 Equivalent Fractions Method 1: Prime factorization Write the prime factors of 20 and 48. Simplify. 20 48 ___ 5 12 ___ So written in simplest form is. 20 48 ___ = _________________ = 5 12 ___ Ex. 5: Writing Fractions in Simplest Form Write each fraction in simplest form. 2 2 5 2 2 2 2 3

14. 4-5 Equivalent Fractions 20 48 ___ What is the GCF of 20 and 48? Method 2: GCF 20 48 _______ ÷ 4 Divide 20 and 48 by their GCF, 4. = 5 12 __ Ex. 5 Continued… The prime factorization method is useful when you know that the numerator and denominator have common factors, but you are not sure what the GCF is. Helpful Hint

15. 4-5 Equivalent Fractions 20 48 ___ Method 3: Birthday Cake Ex. 5 Continued… 20 / 482 10 / 242 5 / 12

16. 4-5 Equivalent Fractions Ex. 6: Writing Fractions in Simplest Form Write the fraction in simplest form. 7 10 ___ 7 and 10 only have a common factor of 1. 7 10 ___ Therefore, is already in simplest form.

17. 4-5 Equivalent Fractions TOYO 2 Find the missing number that makes the fraction equivalent. 3 9 __ 27 ___ = 3 9 ______ In the denominator, 9 is multiplied by 3 to get 27. 3 3 Multiply the numerator, 3, by the same number, 3. = 9 27 ____ So is equivalent to. 3 9 __ 9 27 ___

18. 4-5 Equivalent Fractions TOYO 3 Find the missing number that makes the fraction equivalent. 2 4 __ 40 ___ = 2 4 ______ In the numerator, 2 is multiplied by 20 to get 40. 20 Multiply the denominator by the same number, 20. = 40 80 ____ So is equivalent to. 2 4 __ 40 80 ___

19. 4-5 Equivalent Fractions TOYO 1 Write each fraction in simplest form. (Use any method to get your answer) 12 16 ___

20. 4-5 Equivalent Fractions Communicator Activity Find two equivalent fractions for the following fractions: Find the missing number that makes the fraction equivalent

21. 4-5 Equivalent Fractions Exit Ticket Find two equivalent fractions for each given fraction. 1. 2. Find the missing number that makes the fractions equivalent. 3. 4. 4 10 ___ 7 14 ___ 2 7 __ ___ 21 = 4 15 __ ___ 20 =