SOLUTION: I have to change the repeating decimal to fraction. 2.39999999999999999999999999999999999999999999999999999999999999

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Question 120425This question is from textbook Algebra Structure and Method Book 1
: I have to change the repeating decimal to fraction. 2.39999999999999999999999999999999999999999999999999999999999999 This question is from textbook Algebra Structure and Method Book 1

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
I have to change the repeating decimal to fraction. 2.39999999999999999999999999999999999999999999999999999999999999

Let 
x = 2.39999999999999999999999999999999999999999999999999999999999999

Multiply both sides by 10:

10x = 23.9999999999999999999999999999999999999999999999999999999999999

write the first equation under this one and subtract:

 10x = 23.9999999999999999999999999999999999999999999999999999999999999
   x =  2.39999999999999999999999999999999999999999999999999999999999999
------------------------------------------------------------------------
  9x = 21.60000000000000000000000000000000000000000000000000000000000000

  9x = 21.6

Multiply both sides by 10 to clear the decimal

 90x = 216

   x = 216%2F90

reduce the fraction

   x = 12%2F5

Edwin