Changing Decimals to Fractions .9 9/10

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.

Find place value of the decimal, and write this # as your denominator Step One EXAMPLES= .4 .67 Tenths Hundredths 10 100 Find place value of the decimal, and write this # as your denominator

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

REDUCE FRACTION TO LOWEST TERMS (if possible) 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

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

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

PART 2: Changing Fractions to Decimals .9 9/10

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: 2.141414… = 2.14 *Symbolized with a repeating bar over the repeating digits.

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

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

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

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)

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

NOTE: If your fraction is not reduced to LOWEST TERMS … SIMPLIFY before dividing! 0.83 REPEATINGDECIMAL 5 6 15 18 ÷3= 6 5.00