(3n^2-n) / (n^2-1) / (n+1)/n^2
\[\frac{ 3n ^{2}-n }{ n ^{2}-1 }\div \frac{ n+1 }{ n ^{2} }\]
factorising here, is the "key" to your solution.
\[\frac{ n(3n-1) }{(n-1)(n+1) }\ \div \frac{ n ^{2} }{ n+1 }\] is this right
YOu're on the right track. Now flip the second fraction upside down so that you can change the division sign to a multiplication sign.
You already flipped it.
sorry I was suppose to put multiply instead of divide
Changed the sign. Okay.
Then take away those common multiples.
Wait I don't think you can take any.
You sure you wrote down the correct equation. Because you can't take away any common values.
Ya that is what they gave me
Was your question: (3n^2-n) / (n^2-1) / (n+1)/n^2 meant to be this:(3n^2-n) / (n^2-1) / n^2/n+1?
look at the last fraction, that does seem dodgy to me. Could you double check your fractions to make sure each term is in the correct position.
\[\frac{ n ^{2} }{ n+1 }\] this is the original
Ahah, I want to say told you so, but I won't. So now you flip that upside down. Now you can get rid of the common factors diagonally across each fraction.
\[\frac{ n(3n-1) }{ (n-1)(n+1) }\times \frac{ n+1 }{ n^2 }=\frac{ 3n-1 }{ n-1 }\times \frac{ 1 }{ n }\]
That's what you would end up with, correct?
sorry I wrote it down and then flipped it back around.
No worries.And then you just combine the result to leave it in one fraction.
\[\frac{ 3n-1 }{ n-1 }\times \frac{ 1 }{ n }=?\]
What you fill in the question mark, is your answer.
\[\frac{ 3n-1 }{ n(n-1) }\]
You nailed it right into the head. Well Done. Excellent work.
Thank you for walking me through it.
No worries, anytime.
Join our real-time social learning platform and learn together with your friends!