Changing Decimals to Fractions

1
Changing Decimals to Fractions
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2
Place Values
.91
.912

• .9

Tenths
Hundredths
Thousandths
And so on
You will be using the place value as your
denominator when we change the decimals to
fractions.
3
Step One

• EXAMPLES .4 .67

Tenths
Hundredths
10
100
Find place value of the decimal, and write this
as your denominator
4
Step Two

• EXAMPLES .4 .67

1)
10
100
4
2)
10
67
100
Bring the number from the decimal and place it as
the numerator for the fraction
5
Step Three

• REDUCE FRACTION TO LOWEST TERMS (if possible)

4 67
1)
10 100
ALREADY IN LOWEST TERMS
4 2 2
10 2 5
Remember Whatever you do to the numerator, you
must do to the denominator vice versa
6
YOUR TURN!!! You have 5 seconds take out your
white board, expo marker, and felt eraser. Be
ready for YOUR problem!
0.75
75 25 100 25
3 4
0.12
12 4 100 4
3 25
7
PRACTICE CONTINUED
TIP Use DIVISIBILITY RULES when reducing
fraction to lowest terms!
325 25 1000 25
13 40
0.325
40 20 1000 20
2 50
0.040
8
PART 2Changing Fractions to Decimals
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KEY VOCABULARY
TERMINATING DECIMALA decimal that ENDSEX 2.14
REPEATING DECIMALA decimal that REPEATS a
pattern of digitsEX 2.141414
2.14Symbolized with a repeating bar over the
repeating digits.
10
Step One

• EXAMPLE 4

10
10
4
Divide numerator becomes the dividend Denominato
r becomes the divisor TOP goes in the BOX
11
Step Two

• EXAMPLE 4

10
10
4.00
After setting up the division problem (TOP goes
in the BOX) ADD a DECIMAL behind the
whole and at least two zeros
12
Step Three

• EXAMPLE 4

10
_. _ _
10
4.00
Bring the decimal UP and mark your place holders
13
Step Four

• EXAMPLE 4

10
0.40
10
4.00
DIVIDE Remember you
can NEVER have a remainder when working with
decimals add more zeros until the terminates
or repeats (If you must round go the
hundredths place)
14
YOUR TURN!!! You have 3 seconds take out your
white board, expo marker, and felt eraser. Be
ready for YOUR problem!
0.4 REPEATINGDECIMAL
4 9
9
4.00
4 5
0.8 TERMINATINGDECIMAL
5
4.00
15
NOTE
If your fraction is not reduced to LOWEST TERMS
SIMPLIFY before dividing!
0.83 REPEATINGDECIMAL
5 6
15 18
6
5.00
3 3