Download - Changing Decimals to Fractions
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Changing Decimals to Fractions
.9 9/10
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Place Values
.9
Tenths
.91
Hundredths
.912
Thousandths
And so on…
You will be using the place value as your denominator
when we change the decimals to fractions.
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Step OneEXAMPLES= .4 .67
Find place value of the decimal, and write this # as
your denominator
Tenths Hundredths
10 100
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Step TwoEXAMPLES= .4 .67
1) 10 100
2) 10100
467
Bring the number from the decimal and place it as the numerator for the fraction
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Step ThreeREDUCE FRACTION TO LOWEST
TERMS (if possible)4 67
10 1001)
4 ÷ 2 = 2 10 ÷ 2 = 5
*Remember: Whatever you do to the numerator, you must do to the
denominator & vice versa
ALREADY IN LOWEST TERMS
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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 =
0.12
34
12 ÷ 4 =100 ÷ 4 =
325
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PRACTICE CONTINUED…
0.040
0.325
40 ÷ 20 =1000 ÷ 20 =
325 ÷ 25 =1000 ÷ 25 =
250
1340
TIP: Use DIVISIBILITY RULES when reducing fraction to lowest terms!
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PART 2:Changing Fractions to
Decimals
.9 9/10
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KEY VOCABULARYTERMINATING
DECIMAL:A decimal that ENDS
EX: 2.14REPEATING DECIMAL:A decimal # that REPEATS a pattern of
digitsEX: 2.141414… = 2.14
*Symbolized with a repeating bar over the repeating digits.
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Step OneEXAMPLE= 4
Divide – numerator becomes the dividend
Denominator becomes the divisor TOP goes in the BOX
10
10 4
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Step TwoEXAMPLE= 4
After setting up the division problem (TOP goes in the BOX) … ADD a DECIMAL behind the
whole # and at least two zeros
10
10 4.00
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Step ThreeEXAMPLE= 4
Bring the decimal UP and mark your place holders
10
10 4.00_. _ _
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Step FourEXAMPLE= 4
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)
10
10 4.000.40
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YOUR TURN!!!You have 3 seconds … take out your white board, expo marker,
and felt eraser. Be ready for YOUR problem!49
45
9 4.00 0.4 REPEATINGDECIMAL
5 4.000.8 TERMINATINGDECIMAL
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If your fraction is not reduced to LOWEST TERMS … SIMPLIFY
before dividing!
1518
6 5.00 0.83 REPEATINGDECIMAL
÷3=÷3=
56
NOTE: