1. Do Now: Draw a picture representing each fraction: ½ 2/4 5/10 What do you notice?

2. HW REVIEW pg. 563 #1-11,odds

3. Math 7 GWJHS “Raise the Praise” Equivalent Fractions GCF and LCD

4. Objective: TLWBAT to convert fractions to equivalent forms by multiplying or dividing the numerator and denominator by the LCM or GCF and correctly completing at least 8 out of 10 practice problems. CPIs: NJCCCS 4.1.7.A.5 Common Core 7.NS.2, 7.NS.A.2a

5. Equivalent Fractions Equivalent fractions are different expressions of the same amount. =

6. GCF and LCM Greatest Common Factor (GCF): The largest common factor of two or more given numbers EX) 24 and 36 Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 Least Common Multiple (LCM): The least number, other than zero, that is a multiple of two or more given numbers EX) 3, 5 Multiples of 3: 3, 6, 9, 12, 15, 18 Multiples of 5: 5, 10, 15, 20, 25

7. Your Turn Find the GCF of the following numbers. 30 and 42 36 and 45 6, 15, and 48

8. Your Turn Find the LCM of the following numbers. 4 and 7 3 and 15 8, 10, and 12

9. Writing Fractions in Simplest Form To simplify a fraction, divide the numerator and denominator by the greatest common factor. The greatest common factor of 18 and 27 is 9 so divide the numerator and denominator both by 9. ==

10. Finding Equivalent Fractions To create fractions equivalent to a given fraction, multiply or divide the numerator and denominator by the same number. == ==

11. Determining Whether Fractions are Equivalent Find a common denominator and compare the numerators. and

12. Improper Fractions and Mixed Numbers Improper Fraction – the numerator is greater than the denominator Mixed Number – a whole number and a fraction together

13. Converting an Improper Fraction to a Mixed Number Divide the numerator by the denominator. Write the remainder as a fraction over the denominator of the original improper fraction. 13 5 = 2 3535

14. Converting a Mixed Number to an Improper Fraction Multiply the denominator and whole number, then add the numerator. Write the result over the original denominator. 23  + 7 = 3 · 7 + 2 3 = 23 3

15. White Board Practice Write a fraction equivalent to 5/7

16. White Board Practice Write a fraction equivalent to 4/9

17. White Board Practice Write a fraction equivalent to 6/12

18. White Board Practice Write a fraction equivalent to 9/16

19. White Board Practice Write a fraction equivalent to 8/20

20. White Board Practice Write the LCM of 8 and 12

21. White Board Practice Write 6/10 in simplest form.

22. White Board Practice Write 12/16 in simplest form.

23. White Board Practice Write 9/15 in simplest form.

24. White Board Practice Write 20/35 in simplest form.

25. White Board Practice Write 40/100 in simplest form.

26. White Board Practice Find the GCF of 27, 36, and 45

27. White Board Practice Is 4/8 equivalent to 5/10? Yes or No

28. White Board Practice Is 3/9 equivalent to 4/12? Yes or No

29. White Board Practice Is 6/8 equivalent to 10/15? Yes or No

30. White Board Practice Is 15/25 equivalent to 21/35? Yes or No

31. White Board Practice Is 8/20 equivalent to 4/16? Yes or No

32. White Board Practice Convert 23/4 to a mixed number

33. White Board Practice Convert 19/3 to a mixed number

34. White Board Practice Convert 26/8 to a mixed number

35. White Board Practice Convert 32/5 to a mixed number

36. White Board Practice Convert 76/3 to a mixed number

37. White Board Practice Convert 4½ to an improper fraction.

38. White Board Practice Convert 9¾ to an improper fraction.

39. White Board Practice Convert 6¾ to an improper fraction.

40. White Board Practice Convert 8¼ to an improper fraction.

41. White Board Practice Convert 28½ to an improper fraction.

42. Place Value Review 3,785.125 Thousands Hundreds Tens Ones Tenths Hundredths Thousandths

43. Name that Place Value 340.09 89.108 1,083.4 3,592.50 5.7920

44. Exit Ticket Jack mows the lawn every 3 weeks and washes the car every 2 weeks. If he does both today, how many days will pass before he does them both on the same day again? Hint: LCM