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Mathematics 21 Online
OpenStudy (anonymous):

Help me with this problem!!!

OpenStudy (anonymous):

\[\frac{ m-3 }{ 3m-9 }\]

OpenStudy (anonymous):

Actually just factorise 3 on the bottom.\[3m-9 = 3(m-3)\]does that make sense?

OpenStudy (anonymous):

no, but i dont understand factoring.... Ill trust you though. What next?

OpenStudy (anonymous):

But can you see how \[3(m-3)\]when you multiply out becomes\[(3\times m) -(3 \times 3)\]?

OpenStudy (anonymous):

yeah...

OpenStudy (anonymous):

\[{m-3 \over 3(m-3)}\]We can cancel the (m-3)\[{1\cancel{m-3} \over 3\cancel{(m-3)}}\]

OpenStudy (anonymous):

Which leaves\[\frac{1}{3}\]

OpenStudy (anonymous):

Hope that helps! Let me know if there is any part you don't get.

OpenStudy (anonymous):

Where did you get the one from?

OpenStudy (anonymous):

Well we have \[(m-3)\]right? How many (m-3) do we have? We have 1. On the bottom of our equation we have \[3(m-3)\]How many (m-3) do we have? We have 3.

OpenStudy (anonymous):

The 1 was always there but there was no need to write it.

OpenStudy (anonymous):

In the same way that \[\frac{5}{5} = 1\]

OpenStudy (anonymous):

O. Thats one of the things i never got...

OpenStudy (anonymous):

Thank you so much!!

OpenStudy (anonymous):

No problem!

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