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Mathematics
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what is the least common multiply of 3, 4 and 6?
12

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ok good, so at the moment (we might can reduce later) the common denominator will be \(12y\)
Okay, whats next?
you have to build up each fraction just like with numbers \[\frac{x+1}{3y}=\frac{4(x+1)}{4\times 3y}=\frac{4x+4}{12y}\] for the first one
can you build up \[\frac{x-2}{4y}\]so the denominator will be \(12y\)?
so times three
yes, top and bottom, and don't forget the distributive law
3x-6/12y
right
repeat with \[\frac{x+3}{6y}\]
2x+6/12y
ok good, now we are ready to add and subtract the denomiator will be \(12y\) and the numerator will be \[4x+4+3x-6-(2x+6)\] notice the last parentheses, you still have to distribute the minus sing, then combine like terms
let me know when you get \(5x-8\)
did you get it ?
Yes I did.
happy now?
Yes, thank you, you make this stuff seem easy haha
it is all easy when you know what you are doing when you do not, it is not since you were not born knowing this (i assume) you learn as you do it
makes sense.

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