Conversions
Decimals to Fractions
and
Fractions to Decimals
What are we
learning?
In this lesson you will learn how to
convert
decimals to fractions
and
fractions to decimals
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.
How to Convert Decimals to
Fractions
.24
How to Convert Decimals to
Fractions
.5
The 5 is in the tenths
place
5
10
How to Convert Decimals to
Fractions
.84
The 4 is in the
hundredths place
84
100
What if there is a whole
number before the decimal
point?
1.589
The 9 is in the
thousandths place
589
1
1000
What if there is a whole
number before the decimal
point?
25.5
The 5 is in the tenths
place
5
25
10
How to Convert Fractions to
Decimals
23
100
2
This is the hundredths
place so the 3 needs to
be in the hundredths
place.
3
.23
How to Convert Fractions to
Decimals
567
1000
5
This is the thousandths
place so the 7 needs to
be in the thousandths
place.
6
.567
7
How to Convert Fractions to
Decimals
4
1000
This is the thousandths
place so the 4 needs to
be in the thousandths
place.
0
0
.004
4
How to Convert Fractions to
Decimals
2
10
This is the tenths place
so the 2 needs to be in
the tenths place.
2
.2
What if there is a whole number
before the fraction?
567
3
1000
3
5
This is the thousandths
place so the 7 needs to
be in the thousandths
place.
6
3.567
7
How to Convert Fractions to
Decimals
34
24
1000
This is the thousandths
place so the 4 needs to
be in the thousandths
place.
24.034
Suppose You Can’t Use A
Denominator of 10?
5
6
Divide
the
Numerator
by the
Denominator
Suppose You Can’t Use A
Denominator of 10?
5
6
.83
.8 3
6 5 .0 0
48
20
18
2
Suppose You Can’t Use A
Denominator of 10?
2
3
.6
.6
3 2 .0
18
2
Try Some . . .
7
8
5
50
3
4
6
10
12
16
3
40
Try Some . . .
.35
.6
.25
.875
.95
.125