Converting Between Fractions and Decimals Decimals are numbers ...

Converting Between Fractions and Decimals
Decimals are numbers that have a value between whole
numbers
Example: 1.35 is between the whole numbers 1 and 2
Sometimes it is easier to understand the value between
whole numbers by writing the value as a decimal instead
of a fraction.
Ex. $1
3
10
looks unusual and is easier to understand
by writing $1.30
1

Changing Fractions to Decimals
Divide the numerator by the denominator
Example: Covert
9
16
to a decimal
Add a decimal after the numerator.
Add zeros until the decimal terminates
or repeats three times.
9
16 = 0.5625
.5625
.
16 9.0000
8 0
1 00
96
40
32
80
80
0
2

Convert the following mixed number into a decimal.
.375
8 3.000
2 4
60
56
40
40
0
3 3 8
Convert the fraction to a decimals and add the whole
number to the decimal.
3
8
= .375 + 3= 3.375
3

Convert the following fractions into decimals using division.
5
8
9
12
4

Convert the following mixed numbers into decimals.
1
2 5
7
4 8
5

You can also use your calculator to change fractions to
decimals.
To change fractions to decimals with your calculator,
simply divide the numerator by the denominator.
3
16
7
25
19
45
72
147
6

Changing Decimals back to Fractions
Decimals can be writing in fraction form by using the decimal's
place value as the denominator
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10
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A
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100
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A
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7

To convert decimals to fractions the value of
the decimal is the numerator.
The place value of the decimal is the denominator.
0.25 The value of the decimal is 25.
The place value of the decimal is the hundredths place value.
0.25 = 25
100
= 1 4
Simplify the fraction
8

Convert to a fraction
0.562 562 is the value of the decimal
562
1000
Simplify
562 ÷2
1000÷2 = 281
500
Thousandths is the place value of the decimal
9

Convert to a fraction
1.35
1 35
When you have values in front of
the decimal you will get a mixed
number for your answer.
35 is the value of the decimal
Hundredths is the place value of the decimal
÷5
÷5
Simplify
= 1 7 100 20
10

Convert to fractions
2.20 .006
.9 1.15
11

Convert to fractions
3.15 .008
.7 2.45
12