Converting decimals to Fractions

1
Converting decimals to Fractions
2
Decimals and fractions are different ways of
describing numbers between whole numbers.

• It is useful to know how to convert one form to
  the other

3
To Change a Decimal to a Fraction follow these
steps

• Find the place of the last digit.
• the place value for this digit becomes the
  denominator
• 0.75
• 5 is in the hundredths place
• the denominator of the fraction is 100.

4
To Change a Decimal to a Fraction follow these
steps

• 2. Use the numeral in the decimal for the
  numerator.
• 0.75 75
• 100

5
To Change a Decimal to a Fraction follow these
steps

• 3. Simplify the fraction
• 75 75 25 3
• 100 100 25 4
• Greatest common factor

6
Problems of the day

• Write 0.33 as a fraction
• 2. Write 0.7 as a fraction

7
Problems of the day

• Write 0.33 as a fraction
• Step 1 3 is in the hundredths place
• The denominator is 100.
• Step 2 0.33 ? 33
• 100
• The numeral in the decimal is the numerator

8

• Step 3 The fraction 33 is in the simplest
  form. 100

9
Problems of the day

• 2. Write 0.7 as a fraction
• Step 1 0.7 ? 7 is in the tenths place.
• the denominator is 10.
• Step 2 0.7 ? 7
• 10
• The numeral in the decimal is the numerator
• Step 3 The fraction 7 is in the simplest form
• 10

10
Changing a Fraction to a Decimal

• If the denominator is a power of 10 (i.e- 10,
  100, 1000, 10000, etc), then look at the
  denominator to see what place value your decimal
  will go to
• Then, place the numeral part of the numerator
  into your decimal

11
Changing a Fraction to a Decimal

• Example 33/100
• 33/100 has a denominator of 100, so I need to go
  to the Hundredths place in my decimal .___ ___
• I have 2 numbers in 33 and 2 places in my decimal
  place value, so I fill these numbers in
  accordingly .__3___ __3___
• Answer 33/100 .33

12
Changing a Fraction to a Decimal

• If I have more decimal places than numbers, fill
  the last decimal places with the numbers/numerals
  and the empty spaces at the beginning with a
  zero(s)
• EX 27/1000 .027
• EX 9/1000.009

13
When the denominator is not a power of 10, divide
the numerator of the fraction by the denominator
of the fraction

• 1/8 ?
• 0.125
• 8 1.000
• - 8
• 20 Therefore, 1/8 0.125
• -16
• 40
• -40
• 0

14
Problems of the day

• Write 3 as a decimal
• 10
• Write 4 as a decimal
• 5

15
Problem of the day

• Write 3 as a decimal
• 10
• 3 ? place value is tenths.
• 10
• Write the decimal using the numeral in the
  numerator.
• 3 0.3
• 10

16
Problem of the day

• 2. Write 4 as a decimal
• 5
• 0.8
• 5 4.0
• -4 0 so, 4 0.8
• 0 5

17
Changing Fraction to a Decimal when not a Power
of 10

• Steps Again
• - Divide the bottom number into the top number
• - Add a decimal to your dividend
• - Add as many zeros as needed until your quotient
  either terminates or repeats

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Problems of the day

• 0.4
• 2/5 5 2.0 0.4
• -20
• 0
• 0.7
• 2) 7/10 10 7.0 0.7
• -70
• 0

19
Remember

• To change a fraction to a decimal, divide the
  numerator by the denominator.
• 0.125
• 1 ? 8 1.000
• 8 -8
• 20
• -16
• 40
• -40
• 0