1. Changing Decimals to Fractions.9
9/10

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. Find place value of the decimal, and write this # as your denominator
Step One
EXAMPLES=
Tenths
Hundredths 10
100
Find place value of the decimal, and write this # as your denominator

4. Step Two
EXAMPLES= 1) 10
100 4 2) 10 67
100
Bring the number from the decimal and place it as the numerator for the fraction

5. REDUCE FRACTION TO LOWEST TERMS (if possible)
Step Three
REDUCE FRACTION TO LOWEST TERMS (if possible) 1)
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. Be ready for YOUR problem!
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. TIP: Use DIVISIBILITY RULES when reducing fraction to lowest terms!
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 2: Changing Fractions to Decimals.9
9/10

9. TERMINATING DECIMAL: A decimal that ENDS EX: 2.14
KEY VOCABULARY
TERMINATING DECIMAL: A decimal that ENDS EX: 2.14
REPEATING DECIMAL: A decimal # that REPEATS a pattern of digits EX: … = *Symbolized with a repeating bar over the repeating digits.

10. Denominator becomes the divisor
Step One
EXAMPLE= 4 10 10 4
Divide – numerator becomes the dividend
Denominator 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. Bring the decimal UP and mark your place holders
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. Be ready for YOUR problem!
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
÷3= 6
5.00