unimatix
  • unimatix
Algebra Question. Finding a common denominator.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Find the Least Common Multiple of the denominators (which is called the Least Common Denominator). Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator. Then add (or subtract) the fractions, as we wish!"
unimatix
  • unimatix
\[\left(\begin{matrix}m \\ n\end{matrix}\right) +\left(\begin{matrix}m \\ n-1\end{matrix}\right) = \frac{ m! }{ n! (m-n)!}+ \frac{ m! }{ (m-n+1)!(n-1)! }\]
unimatix
  • unimatix
In the next step shown in the answer key the common denominator is shown as \[n!(m-n+1)!\] I am confused as to how this was obtained.

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anonymous
  • anonymous
Im sorry. Im not sure i can help you! Hold on. Ill try to look for something.
unimatix
  • unimatix
thank you!
unimatix
  • unimatix
@SolomonZelman
unimatix
  • unimatix
@pooja195
unimatix
  • unimatix
@jigglypuff314
unimatix
  • unimatix
@Zale101
unimatix
  • unimatix
@AlexandervonHumboldt2
unimatix
  • unimatix
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G33k
  • G33k
I got nothing, sorry
unimatix
  • unimatix
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anonymous
  • anonymous
who add me here
unimatix
  • unimatix
howdy
nicoleg7
  • nicoleg7
hi
unimatix
  • unimatix
@RAM231 @Rashadeb1 @SithsAndGiggles @sleepyjess @skullpatrol @Surana @They_Call_Me_Narii @Underpole @WildQueen @xo.A @YoungStudier @zasharra @Zale101
Surana
  • Surana
That's a lot of people summoned.
unimatix
  • unimatix
I NEED AN ARMY.
anonymous
  • anonymous
dang I don't even know this one srry
unimatix
  • unimatix
Thanks all the same!
RAM231
  • RAM231
I have NO clue. Im sorry
Surana
  • Surana
These ones are always confusing to me. Let me see.
unimatix
  • unimatix
I'm wondering if the answer key is wrong. I've heard Lang's Basic Mathematics has some typos.
anonymous
  • anonymous
why am i here
Surana
  • Surana
Were the explanation marks meant to be 1's instead? Because if those were actually 1's instead of explanation marks, then my guess is that the n in the whole N(M - N) thing got multiplied, making it the (m - n + 1) answer. If it was meant to be explanation marks, then I'm at a loss here.
unimatix
  • unimatix
Yep, those are exclamation marks. Factorials.
Surana
  • Surana
Now I'm at a loss. Sorry. I think that @misty1212 could help, if she was online.
unimatix
  • unimatix
Thank you.
Surana
  • Surana
You're welcome.
jim_thompson5910
  • jim_thompson5910
it might help to partially expand things out n! = n*(n-1)! (m-n+1)! = (m-n+1)*(m-n+1-1)! = (m-n+1)*(m-n)!
unimatix
  • unimatix
YES! THANK YOU SO MUCH!!! It's painfully obvious in light of what you have said, but I never would have thought to have looked at simplifying them by partially expanding them. I really thought I wasn't going to be able to figure it out. Thank you! Thank you!!!
jim_thompson5910
  • jim_thompson5910
you're welcome
Surana
  • Surana
Nicely done.

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