1. Conversions
Decimals to Fractions
and
Fractions to Decimals

2. What are we learning?
In this lesson you will learn how to
convert decimals to fractions and
fractions to decimals

3. Why is this important?
 There are different notations for the same number.
One number can be expressed in different ways.
This lesson will focus on decimals and fractions.
Many times a number is expressed in one notation
and you need to see it in a different notation. This
lesson will teach how to change decimals to fractions
and fractions to decimals. All we have to do is
understand that fractions and decimals are really the
same thing. Sometimes it is best to use decimals,
and other times it is best to use fractions.

4. How to Convert Decimals to
Fractions
Use the place value of the last digit in the
number to determine what the denominator of
the fraction will be.

5. How to Convert Decimals to
Fractions
.24

6. How to Convert Decimals to
Fractions
.5
The 5 is in the tenths
place
10
5

7. How to Convert Decimals to
Fractions
.84
The 4 is in the
hundredths place
100
84

8. What if there is a whole number
before the decimal point?
1.589
The 9 is in the
thousandths place
1000
5891

9. 25.5
The 5 is in the tenths
place
10
525
What if there is a whole number
before the decimal point?

10. How to Convert Fractions to
Decimals
100
23 This is the hundredths
place so the 3 needs to
be in the hundredths
place.
2 3
.23

11. How to Convert Fractions to
Decimals
1000
567 This is the thousandths
place so the 7 needs to
be in the thousandths
place.
5 6
.567
7

12. How to Convert Fractions to
Decimals
1000
4 This is the thousandths
place so the 4 needs to
be in the thousandths
place.
0 0
.004
4

13. How to Convert Fractions to
Decimals
10
2 This is the tenths place so
the 2 needs to be in the
tenths place.
2
.2

14. What if there is a whole number
before the fraction?
1000
567 This is the thousandths
place so the 7 needs to
be in the thousandths
place.
5 6
3.567
7
3
3

15. How to Convert Fractions to
Decimals
1000
34
24.034
24
This is the thousandths
place so the 4 needs to
be in the thousandths
place.

16. If you still have questions,
review the PowerPoint
again.