1. Fractions BROUGHT TO YOU BY POWERPOINTPROS.COM

2. What are fractions? A fraction is a part of a whole.

3. What are fractions? Think of a fraction like a slice of pizza. If you eat a slice of pizza, you’re eating only a part of the whole pizza.

4. What are fractions? This is a fraction. Look and see that there are two numbers placed on top of each other. 1 2 __

5. What are fractions? 1 2 __ The top number is called the numerator. The bottom number is called the denominator.

6. Making fractions Let’s go back to our pizza example… This pizza has been divided into 8 equal slices. That number makes up the denominator of our fraction. 8 __

7. Making fractions Let’s go back to our pizza example… One of those 8 slices has been eaten. That number makes up the numerator of our fraction. 8 __ 1

8. Making fractions Let’s go back to our pizza example… So, if we look at this fraction, we can see that one eighth of this pizza has been eaten. 8 __ 1

9. Making fractions Let’s try another example… This pizza has been divided into 4 equal slices, so we make that number the denominator of our fraction. 4 __

10. Making fractions Let’s try another example… One of those 4 slices has been eaten, so we make that number the numerator of our fraction. 4 __ 1

11. Making fractions Let’s try another example… So, if we look at this fraction, we can see that one fourth of this pizza has been eaten. 4 __ 1

12. Making fractions So, as we can see, the denominator of a fraction stands for how many total pieces the pizza has been divided into… … and the numerator of a fraction stands for how many pieces have been eaten.

13. Let’s Practice! Make a fraction that shows how much of the pizza has been eaten.

14. Let’s Practice! (1) X X Make a fraction that shows how much of the pizza has been eaten. 8 __ 2 First, find out how many slices there are total. (denominator) Then, find out how many slices have been eaten. (numerator)

15. Let’s Practice! (1) X X 8 __ 2 Two eighths of the pizza have been eaten!

16. Let’s Practice! (2) X Make a fraction that shows how much of the pizza has been eaten. 4 __ 1 First, find out how many slices there are total. (denominator) Then, find out how many slices have been eaten. (numerator)

17. Let’s Practice! (2) 4 __ 1 One fourth of the pizza has been eaten! X

18. Let’s Practice! (3) X X Make a fraction that shows how much of the pizza has been eaten. 6 __ 5 First, find out how many slices there are total. (denominator) Then, find out how many slices have been eaten. (numerator) X X X

19. Let’s Practice! (3) 6 __ 5 Five sixths of the pizza have been eaten! X X X X X

20. Let’s Practice! (4) Make a fraction that shows how much of the pizza has been eaten. 2 __ 1 First, find out how many slices there are total. (denominator) Then, find out how many slices have been eaten. (numerator) X

21. Let’s Practice! (4) 2 __ 1 One half of the pizza has been eaten! X

22. Let’s Practice! (5) Make a fraction that shows how much of the pizza has been eaten. 3 __ 2 First, find out how many slices there are total. (denominator) Then, find out how many slices have been eaten. (numerator) X X

23. Let’s Practice! (5) 3 __ 2 Two thirds of the pizza have been eaten! X X

24. Reading fractions You’ve done a good job making fractions based on examples, but what about reading fractions? If we look at this fraction, what does it actually mean? 4 __ 2

25. Reading fractions If we go back to our pizza example, it will help us understand what this fraction means. 4 __ 2

26. Reading fractions Recall that the denominator of a fraction stands for how many total pieces the pizza has been divided into… …and the numerator of a fraction stands for how many pieces have been eaten. 4 __ 2

27. Reading fractions Using that information, we can make another pizza example to show what this fraction means. 4 __ 2

28. Reading fractions We just said that the denominator, or bottom number, of a fraction shows how many pieces the pizza has been cut into. 4 __ 2

29. Reading fractions The bottom number of this fraction is 4, so that means we have to cut this pizza into 4 equal slices! 4 __ 2

30. Reading fractions We also said that the numerator, or top number, of a fraction tells us how many of those pieces have been eaten. 4 __ 2

31. Reading fractions The top number of this fraction is 2, so that means that 2 of the 4 slices have been eaten! 4 __ 2X X

32. Reading fractions We’ve just figured out what this fraction means! It means that… The pizza has been cut into 4 slices… …and 2 of those slices have been eaten! We just read a fraction! Let’s try another one! 4 __ 2X X

33. Reading fractions Let’s use a new fraction this time… What does this fraction mean? 8 __ 5

34. Reading fractions We know that the denominator tells us how many pieces the pizza should be cut into. This fraction has a denominator of 8, so this pizza should be cut into 8 equal slices! 8 __ 5

35. Reading fractions We also know that the numerator tells us how many pieces have been eaten. This fraction has a numerator of 5, which means that 5 of these pieces have been eaten! 8 __ 5X X X X X

36. Reading fractions We’ve now know what this fraction means! It means that… The pizza has been cut into 8 slices… …and 5 of those slices have been eaten! We just read another fraction! 8 __ 5X X X X X

37. Let’s Practice! Find out what each fraction means using pizzas.

38. Let’s Practice! (6) 4 __ 1 Find out what each fraction means using pizzas. First, we have to divide the pizza into the number of slices shown in the denominator. Then, we have to figure out how many slices have been eaten, which is shown in the numerator. X

39. Let’s Practice! (6) 4 __ 1 Find out what each fraction means using pizzas. We’ve figured out what this fraction means! It means that… This pizza has been divided into 4 slices… …and 1 of those 4 slices has been eaten. X

40. X X Let’s Practice! (7) 6 __ 2 Find out what each fraction means using pizzas. First, we have to divide the pizza into the number of slices shown in the denominator. Then, we have to figure out how many slices have been eaten, which is shown in the numerator.

41. Let’s Practice! (7) 6 __ 2 Find out what each fraction means using pizzas. We’ve figured out what this fraction means! It means that… This pizza has been divided into 6 slices… …and 2 of those 6 slices have been eaten. X X

42. Let’s Practice! (8) 4 __ 3 Find out what each fraction means using pizzas. First, we have to divide the pizza into the number of slices shown in the denominator. Then, we have to figure out how many slices have been eaten, which is shown in the numerator. X X X

43. Let’s Practice! (8) 4 __ 3 Find out what each fraction means using pizzas. We’ve figured out what this fraction means! It means that… This pizza has been divided into 4 slices… …and 3 of those 4 slices have been eaten. X X X

44. X Let’s Practice! (9) 8 __ 7 Find out what each fraction means using pizzas. First, we have to divide the pizza into the number of slices shown in the denominator. Then, we have to figure out how many slices have been eaten, which is shown in the numerator. X X X X X X

45. Let’s Practice! (9) 8 __ 7 Find out what each fraction means using pizzas. We’ve figured out what this fraction means! It means that… This pizza has been divided into 8 slices… …and 7 of those 8 slices have been eaten. X X X X X X X

46. Short Review  A fraction is part of a whole.  The top number in a fraction is called the numerator.  The bottom number in a fraction is called the denominator.

47. Great job! You now know about fractions!