Transcript Changing Decimals to Fractions

Changing Decimals to Fractions
Place Values
.9
.91
Tenths
Hundredths
.912
Thousandths
And so on…
You will be using the place value
as your denominator when we
change the decimals to fractions.
Step One
EXAMPLES= .4
Tenths
10
.67
Hundredths
100
Find place value of the
decimal, and write this # as
your denominator
Step Two
EXAMPLES= .4
.67
1)
10
2)
4
10
100
67
100
Bring the number from the
decimal and place it as
the numerator for the
fraction
Step Three
REDUCE FRACTION TO LOWEST
TERMS (if possible)
1)
4
10
67
100
4 ÷ 2 = 2
10 ÷ 2 = 5
ALREADY IN
LOWEST
TERMS
*Remember: Whatever you do to
the numerator, you must do to the
denominator & vice versa
YOUR TURN!!!
You have 5 seconds … take
out your white board, expo
marker, and felt eraser.
Be ready for YOUR problem!
0.75
0.12
75 ÷ 25 =
3
100 ÷ 25 =
4
12 ÷ 4 =
3
100 ÷ 4 =
25
PRACTICE CONTINUED…
TIP: Use DIVISIBILITY RULES when
reducing fraction to lowest terms!
0.325
0.040
325 ÷ 25 =
13
1000 ÷ 25 =
40
40 ÷ 20 =
1000 ÷ 20 =
2
50
PART 2:
Changing Fractions to Decimals
KEY VOCABULARY
TERMINATING DECIMAL:
A decimal that ENDS
EX: 2.14
REPEATING DECIMAL:
A decimal # that REPEATS a pattern of digits
EX: 2.141414… = 2.14
*Symbolized with a repeating bar over the repeating digits.
Step One
EXAMPLE=
4
10
10 4
Divide – numerator becomes the dividend
Denominator becomes the divisor
TOP goes in the BOX
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
Step Three
EXAMPLE=
4
10
_. _ _
10 4.00
Bring the decimal UP and mark
your place holders
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)
YOUR TURN!!!
You have 3 seconds … take
out your white board, expo
marker, and felt eraser.
Be ready for YOUR problem!
4
9
4.00
9
4
5
5 4.00
0.4
REPEATING
DECIMAL
0.8
TERMINATING
DECIMAL
NOTE:
If your fraction is not reduced
to LOWEST TERMS …
SIMPLIFY before dividing!
15 ÷3= 5
18 ÷3= 6
6 5.00
0.83
REPEATING
DECIMAL