How do you simplify this?

  • #1
In my textbook it simplifies (208 − 18y)/7 to (29-2y) + (5-4y)/7
How does this happen?
 

Answers and Replies

  • #2
606
1
In my textbook it simplifies (208 − 18y)/7 to (29-2y) + (5-4y)/7
How does this happen?

[itex]29-2y+\frac{5-4y}{7}=\frac{7\cdot 29 - 7\cdot 2y + 5 - 4y}{7} = \frac{208-18y}{7}[/itex]

DonAntonio
 
  • #3
Yes I know that, I also tried it in reverse. But how can it be done without doing it in reverse.
 
  • #4
606
1
Yes I know that, I also tried it in reverse. But how can it be done without doing it in reverse.



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

DonAntonio
 
  • #5
HallsofIvy
Science Advisor
Homework Helper
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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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