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 =
1 How many pieces are
shaded?

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

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

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

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

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

16. Part vs Whole
Whole =
1 2 How many pieces is the
whole divided into?
3
1

17. Part vs Whole
Whole =
1 2 How many pieces is the
whole divided into?
4 3
1

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

19. Part vs Whole
Whole =
1 2 How many pieces is the
whole divided into?
4 3
This number will be
your denominator
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
.25 .25 had to divide it evenly
between the 4 pieces,
.25 .25 how much would go in
each piece?

28. What is this with decimals?
If you had $1.00, and
.25 .25 had to divide it evenly
between the 4 pieces,
.25 .25 how much would go in
each piece?
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
= 0.8
5

32. Converting Decimal to Fraction

33. Converting a Decimal to a Fraction
When given a decimal and you need the fraction
conversion
1. Numerator
– The digits to the right of the decimal point
2. 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 Fraction
24
Numerator will
be the digits to
right of decimal
point.

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

37. Converting a Decimal to a Fraction
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
÷4 = 25
100

40. Examples

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

42. Practice

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

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

45. 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

46. Works Cited
• Images retrieved from google images