convert decimals to fractions n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Convert Decimals to Fractions PowerPoint Presentation
Download Presentation
Convert Decimals to Fractions

Loading in 2 Seconds...

play fullscreen
1 / 10

Convert Decimals to Fractions - PowerPoint PPT Presentation


  • 204 Views
  • Uploaded on

Convert Decimals to Fractions. Place Value Review. Tens Ones . Tenths Hundredths Thousandths Ten Thousandths. 15 . 7456. What I already know…. 0.5 = ½ 0.75 = ¾ 0.125 = 1 / 8

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Convert Decimals to Fractions' - zoe


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
place value review
Place Value Review

Tens

Ones

.

Tenths

Hundredths

Thousandths

Ten Thousandths

15 . 7456

what i already know
What I already know…

0.5 = ½ 0.75 = ¾0.125 = 1/8

Use the place value of the last digit to determine the denominator. Drop the decimal and use that number as the numerator.

  • In the decimal 0.5 the “5” is in the tenths place so the denominator will be “10.”
  • The numerator will be 5. So the fraction is 5/10 which reduces to ½.
  • In the decimal 0.75 the last digit is in the hundredths place so the denominator will be “100.”
  • The numerator will be 75. So the fraction is 75/100 which reduces to ¾.
  • In the decimal 0.125 the last digit is in the thousandths place so the denominator will be “1000.”
  • The numerator will be 125. So the fraction is 125/1000 which reduces to 1/8.
convert the following terminating decimals to fractions
Convert the following terminating decimals to fractions.
  • 0.4
    • 4/10
    • Reduces to 2/5
  • 1.86
    • 1 and 86/100
    • Reduces to 1 43/50
  • 0.795
    • 795/1000
    • Reduces to 159/200
what about non terminating decimals
What about non-terminating decimals?
  • How do you convert 0.1111111111….to a fraction?
  • We are told that repeating decimals are rational numbers.
  • However, to be a rational number it must be able to be written as a fraction of a/b.
steps to change a non terminating decimal to a fraction
Steps to change a non-terminating decimal to a fraction:
  • Convert 0.111111111… to a decimal
  • How many digits are repeating?
    • 1 digit repeats
  • Place the repeating digit over that many 9s.
    • 1/9
  • Reduce, if possible.
  • This means that the fraction 1/9is equal to 0.111111…
  • With your calculator, divide 1 by 9. What do you get?
try the steps again
Try the steps again:
  • Convert 0.135135135… to a decimal.
  • How may digits are repeating?
    • 3 digits repeat.
  • Place the repeating digitsover that many 9s.
    • 135/999
  • Reduce if possible.
    • Divide the numerator and denominator by 9.
  • This means that the fraction 135/999 which reduces to15/111is equal to 0.135135135…
  • With your calculator, divide 135 by 999. What do you get?
  • Divide 15 by 111. What do you get?
one more time together
One more time together:
  • Convert 4.78787878… to a decimal.
  • How many digits are repeating.
    • 2 digits repeat.
  • Place the repeating digitsover that many 9s.
    • 78/99
  • Reduce if possible.
    • Divide the numerator and denominator by 3.
  • This means that the fraction 4 78/99 reduces to 4 26/33is equal to 4.7878…
  • With your calculator, divide 78 by 99. What do you get?
  • Divide 26 by 33. What do you get?
your turn change the following repeating decimals to fractions
Your turn.Change the following repeating decimals to fractions.
  • 0.4444444…
    • 4/9
  • 1.54545454….
    • 153/99 = 1 54/99
  • 0.36363636…
    • 36/99 = 4/11