texaschic101
  • texaschic101
fraction help.....
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
whats the fraction?
texaschic101
  • texaschic101
The denominator of a fraction is 2 more then its numerator. If the fraction is added to its reciprocal, the sum will be twice the original fraction. What is the original fraction ?
anonymous
  • anonymous
is it multiple choice?

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texaschic101
  • texaschic101
This is what I have.. x/x + 2 <--this is the fraction x/(x + 2) + (x + 2)/x = 2((x/x+2)) what now ?
texaschic101
  • texaschic101
it is not multiple choice
texaschic101
  • texaschic101
@hartnn ...can you help
texaschic101
  • texaschic101
@tcarroll010 ...can you help
hartnn
  • hartnn
you need to take LCM of denominators, or in other words, try to make the denominator same....
texaschic101
  • texaschic101
x(x + 2).....is this the lcd ?
hartnn
  • hartnn
like this : \(\\ \large \dfrac{☺}{♥}+\dfrac{☻}{♦}=\dfrac{☺♦+☻♥}{♥♦}\) yes, thats correct! can you write next step ?
texaschic101
  • texaschic101
not really....I am not good at these
hartnn
  • hartnn
or another easier way to do this is to multiply both sides by LCD = x (x+2) try this ?
hartnn
  • hartnn
\(\large \dfrac{x}{x+2} \times x(x+2)+\dfrac{x+2}{x} \times x(x+2) = 2 \dfrac{x}{x+2}\times x(x+2)\) cancel out whichever terms you can.....
hartnn
  • hartnn
got that^ ?
texaschic101
  • texaschic101
x + x + (x + 2) + (x + 2) = 2x + x .....am I way off ?
hartnn
  • hartnn
how did u get that ?
texaschic101
  • texaschic101
oops...I meant x * x + (x + 2)(x + 2) = 2x (x)
hartnn
  • hartnn
absolutely correct!
hartnn
  • hartnn
now isn't it much simpler to solve further ?
texaschic101
  • texaschic101
ok.....so I now have x^2 + x^2 + 4x + 4 = 2x^2 2x^2 + 4x + 4 = 2x^2 do I get everything on one side and set it equal to 0 ?
hartnn
  • hartnn
yes, going good ! notice that 2x^2 gets cancelled...
texaschic101
  • texaschic101
4x + 4 = 0 4x = -4 x = -1 so is the fraction -1/1 ???
hartnn
  • hartnn
you have taken the numerator = x x= -1 denominator = x+2 = 1 yes, the fraction is -1/1 , correct :)
texaschic101
  • texaschic101
thank you so much.....your a lifesaver :)
hartnn
  • hartnn
your welcome ^_^

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