vera_ewing
  • vera_ewing
Did I write this out correctly?
Mathematics
katieb
  • katieb
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vera_ewing
  • vera_ewing
So I wrote: \[\frac{ 1 }{ 3 }m~is~n < \frac{ 1 }{ 2 }m\]
vera_ewing
  • vera_ewing
@jim_thompson5910 Did I write it correctly?
jim_thompson5910
  • jim_thompson5910
the "is" translates to an equals sign you should have this equation \[\Large \frac{1}{3}m = \frac{1}{2}m - n\]

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vera_ewing
  • vera_ewing
So how would I solve? Can I just plug in the answer choices? Or is there a faster, more efficient way?
jim_thompson5910
  • jim_thompson5910
|dw:1434502471198:dw|
jim_thompson5910
  • jim_thompson5910
Let's say m was a multiple of 3 that would mean 1/3 times m is some integer |dw:1434502504575:dw|
vera_ewing
  • vera_ewing
\[\frac{ 1 }{ 3 }m - \frac{ 1 }{ 2 }m = -n\]
jim_thompson5910
  • jim_thompson5910
m & n are integers, so the "-n" portion on the RHS is an integer the 1/2 times m portion must also be an integer to form the entire RHS to be an integer
jim_thompson5910
  • jim_thompson5910
|dw:1434502575606:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1434502590368:dw|
jim_thompson5910
  • jim_thompson5910
so m must be a multiple of 2 and 3
vera_ewing
  • vera_ewing
Ohhh okay! Thanks for explaining that!
jim_thompson5910
  • jim_thompson5910
np

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