simplify this rational

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simplify this rational

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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shoot!
\[\frac{ \frac{ 1 }{ x+2 } - \frac{ 1 }{ 2 } }{ x }\]
|dw:1349062778744:dw|

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@sritama how'd you get that ?
|dw:1349062838039:dw|
i just added the fractions in numerator.
on taking the LCM \[\frac{ \frac{ 2 - (x +2 )}{ 2(x+2) } }{ x }\] \[\frac{ \frac{ 2 - x -2 }{ 2(x+2) } }{ x }\] \[\frac{ \frac{ - x }{ 2(x+2) } }{ x }\]\[\frac{ -x }{ 2(x-2) } \div x\] \[[\frac{ -x }{ 2(x-2) } \times \frac{ 1 }{ x }]\] \[\frac{ -1 }{ 2(x-2) }\] is the answer, you can simplify further ;)
|dw:1349063069596:dw|
what do you do from here, sorry i'd like to go step by step, i get confused easily :$
i took the lcm of the numerator, you get it?
2(x+2)
ya right, may i go to the next step?
mhm
on solving i got numerator = -x/2(x-2) you get it?
yes
after that you can rite this equation similarly as \frac{ -x }{ 2(x-2) } \div x
\[\frac{ -x }{ 2(x-2) } \div x \]you get it?
if i write \[\frac{ 5 }{ 6 } = 5 \div 6 = 5 \times \frac{ 1 }{ 6 }\]
is it correct?
yeah
i just wrote it in other way and then -x/x = -1 you get the answer :)
ohh kkk thankyou !

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