1. Fractions and Decimals
By Kari Knisely

2. Introduction
Objective: The learner will understand how fractions and decimals are equivalent as well as how to convert between fractions and decimals. Target Audience: The intended audience includes middle school 7th grade math students. Viewable: Having access to the Internet will allow you to view this presentation or you can download to view as well if PowerPoint is an application on your computer. Duration: The lesson should take approximately 20 minutes to complete.

3. Table of Contents Fractions Decimals Convert a fraction to a decimal
Convert a decimal to a fraction
Examples
Practice
Conclusion

4. Fractions

5. Fractions 1 4

6. Decimals
0.25

7. Fractions = Decimals 1 4 =
0.25

8. What is a fraction?

9. Part vs Whole
Part =
How many pieces are shaded?

10. Part vs Whole
Part =
How many pieces are shaded? 1

11. Part vs Whole Part = How many pieces are shaded? 1
This number will be your numerator 1

12. 1 Part vs Whole Part = How many pieces are shaded? 1
This number will be your numerator 1 1

13. Part vs Whole
Whole =
How many pieces is the whole divided into? 1

14. Part vs Whole
Whole =
How many pieces is the whole divided into? 1 1

15. Part vs Whole
Whole =
How many pieces is the whole divided into? 1 2 1

16. 1 Part vs Whole Whole = How many pieces is the whole divided into? 1 23 1

17. 1 Part vs Whole Whole = How many pieces is the whole divided into? 1 24 3 1

18. 1 Part vs Whole Whole = How many pieces is the whole divided into?
This number will be your denominator 1 2 4 3 1

19. 1 4 Part vs Whole Whole = How many pieces is the whole divided into?
This number will be your denominator 1 2 4 3 1 4

20. Decimals

21. What is the value with decimals?
If you had $1.00, and had to divide it evenly between the 4 pieces, how much would go in each piece?

22. $1.00 divided into 4 pieces

23. $1.00 divided into 4 pieces
.25

24. $1.00 divided into 4 pieces
.25
.25

25. $1.00 divided into 4 pieces
.25
.25
.25

26. $1.00 divided into 4 pieces
.25
.25
.25
.25

27. What is this with decimals?
If you had $1.00, and had to divide it evenly between the 4 pieces, how much would go in each piece?
.25
.25
.25
.25

28. What is this with decimals?
If you had $1.00, and had to divide it evenly between the 4 pieces, how much would go in each piece?
.25
.25
.25
.25
Each piece is worth .25

29. Converting Fraction to Decimal

30. Converting a Fraction to a Decimal
When given a fraction and you need the decimal conversion - Divide the numerator by the denominator.

31. Converting a Fraction to a Decimal
When given a fraction and you need the decimal conversion - Divide the numerator by the denominator. 4 5
0.8 =

32. Converting Decimal to Fraction

33. Converting a Decimal to a Fraction
When given a decimal and you need the fraction conversion
Numerator
The digits to the right of the decimal point
Denominator
The place value of the last digit
3. Simplify into simplest form if necessary

34. Converting a Decimal to a Fraction
Numerator will be the digits to right of decimal point.

35. Converting a Decimal to a Fraction24
Numerator will be the digits to right of decimal point.

36. Converting a Decimal to a Fraction
Hundredths
Ones
Tenths 24
Denominator will be place value of last digit.

37. Converting a Decimal to a Fraction
Hundredths
Ones
Tenths 24
100
Denominator will be place value of last digit.

38. Converting a Decimal to a Fraction
Simplify if needed….
- Divide top and bottom by same number til you can’t anymore 24
÷ 4 =
100

39. Converting a Decimal to a Fraction
Simplify if needed….
- Divide top and bottom by same number til you can’t anymore 24 6 25
÷ 4 =
100

40. Examples

41. Fractions = Decimals =
.60 =
.66 =
.50

42. Practice

43. 1. What fraction represents this picture? (select your answer)6 4
C. 2 4
B. 4 6
D. 4 2

44. 1. What fraction represents this picture?6 4
C. 2 4
B. 4 6
D. 4 2
GREAT JOB!

45. 1. What fraction represents this picture?6 4
C. 2 4 1 6 2 5 3 4
B. 4 6
D. 4 2
4 shaded pieces
6 total pieces

46. 2. How do we divide the fraction into a decimal? (select your answer)4 6 A B

47. 2. How do we divide the fraction into a decimal?
Great Job! 4 6 A B

48. 2. How do we divide the fraction into a decimal?4 6 A
Remember:
Numerator inside
Denominator outside B

49. Conclusion
You have learned the basics of fraction and decimal equivalency as well as how to convert from one type of number to another.
If you would like additional practice visit the following website.
Fractions to Decimals
Decimals to Fractions

50. Works Cited
Images retrieved from google images