anonymous
  • anonymous
simplify this rational
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
shoot!
anonymous
  • anonymous
\[\frac{ \frac{ 1 }{ x+2 } - \frac{ 1 }{ 2 } }{ x }\]
anonymous
  • anonymous
|dw:1349062778744:dw|

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

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