1. Conversions
Decimals to Fractions
and
Fractions to Decimals

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

3. 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.

4. How to Convert Decimals to Fractions
.24

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

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

7. What if there is a whole number before the decimal point?
1.589
The 9 is in the thousandths place
589 1
1000

8. What if there is a whole number before the decimal point?
25.5
The 5 is in the tenths place 5 25 10

9. How to Convert Fractions to Decimals23
This is the hundredths place so the 3 needs to be in the hundredths place.
100 2 3
.23

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

11. How to Convert Fractions to Decimals4
This is the thousandths place so the 4 needs to be in the thousandths place.
1000 4
.004

12. How to Convert Fractions to Decimals2
This is the tenths place so the 2 needs to be in the tenths place. 10 2 .2

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

14. How to Convert Fractions to Decimals34
This is the thousandths place so the 4 needs to be in the thousandths place. 24
1000
24.034

15. Suppose You Can’t Use A Denominator of 10?5
Divide
the
Numerator
by the
Denominator 6

16. Suppose You Can’t Use A Denominator of 10?5 . 8 3 .0 6 6 5
4 8 2
.83 18 2

17. Suppose You Can’t Use A Denominator of 10?2 . 6 3 2 .0 3
1 8 2 .6

18. Try Some . . . 7 5 6 8 50 10 3 12 3 4 16 40

19. Try Some . . .
.95
.25
.35
.875
.125 .6