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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. 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
Fract.
i2
o
4ns

5. How to Convert
Decimals to
Fract.i5
ons
The 5 is in the tenths
place
5
10

6. How to Convert
Decimals to
Frac
.8
ti4
ons
The 4 is in the
hundredths place
84
100

7. What if there is a
whole number
before the decimal
1
p
.
o
5
i
8
n
9
t
?
The 9 is in the
thousandths place
1 589
1000

8. The 5 is in the tenths
place
5
10
25
What if there is a
whole number
before the decimal
po2in5t.?5

9. 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

10. 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 7
.567

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

12. 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

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.
6 7
3.567
31000
3 5

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

15. Suppos e You Can’t
Us e A Denominator
of 10?
5
6
Divide
the
Numerator
by the
Denominator

16. Suppos e You Can’t
Us e A Denominator
6
5 of 10?
6
4 8
5.0 0
20
.8 3
18
2
.83

17. Suppos e You Can’t
Us e A Denominator
3
2 of 10?
3 2.0
.6
1 8
2
.6

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

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