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How do you simplify this?

  1. Apr 5, 2012 #1
    In my textbook it simplifies (208 − 18y)/7 to (29-2y) + (5-4y)/7
    How does this happen?
     
  2. jcsd
  3. Apr 5, 2012 #2
    [itex]29-2y+\frac{5-4y}{7}=\frac{7\cdot 29 - 7\cdot 2y + 5 - 4y}{7} = \frac{208-18y}{7}[/itex]

    DonAntonio
     
  4. Apr 5, 2012 #3
    Yes I know that, I also tried it in reverse. But how can it be done without doing it in reverse.
     
  5. Apr 5, 2012 #4


    Errr...[itex]208 = 29\cdot 7 + 5\,,\,\,and\,\,18 = 7\cdot 2 + 4[/itex]...what else?!

    DonAntonio
     
  6. Apr 6, 2012 #5

    HallsofIvy

    User Avatar
    Science Advisor

    It's just arithmetic. 7 divides into 208 29 times with remainder 5. 7 divides into 18 twice with remainder 4.
     
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