This document provides an introduction to fractions and decimals for 7th grade math students. It defines fractions as parts of a whole, using pictures to represent numerators and denominators. Decimals are defined as fractional values that result from dividing a whole into equal parts. The document demonstrates how to convert fractions to decimals by dividing the numerator by the denominator, and how to convert decimals to fractions by using the digits right of the decimal point as the numerator and the place value of the last digit as the denominator. Examples and practice problems are provided to help students learn the concepts and do conversions.

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