Changing Decimals to Fractions

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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.

Step OneEXAMPLES= .4 .67

Find place value of the decimal, and write this # as

your denominator

Tenths Hundredths

10 100

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

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

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

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!

PART 2:Changing Fractions to

Decimals

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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.

Step OneEXAMPLE= 4

Divide – numerator becomes the dividend

Denominator becomes the divisor TOP goes in the BOX

10

10 4

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

Step ThreeEXAMPLE= 4

Bring the decimal UP and mark your place holders

10

10 4.00_. _ _

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

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

If your fraction is not reduced to LOWEST TERMS … SIMPLIFY

before dividing!

1518

6 5.00 0.83 REPEATINGDECIMAL

÷3=÷3=

56

NOTE: