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Mathematics 16 Online
OpenStudy (anonymous):

What are the algebraic steps involved in transforming

OpenStudy (anonymous):

\[(x+5)/x \] into \[1-5/(x+5)\]

jhonyy9 (jhonyy9):

this minus how you have got it ?

hartnn (hartnn):

these are just the reciprocals of each other.....what does the question need?

OpenStudy (anonymous):

Problem is here (3A2-j) http://goo.gl/VKQrL

jhonyy9 (jhonyy9):

so and the denominator is just x and not plus 5

OpenStudy (anonymous):

Sorry @hartnn, could you explain that with a bit more detail.

OpenStudy (anonymous):

I'm afraid I don't quite see yet how they are reciprocals

hartnn (hartnn):

in 3A2-j, there was (x+5)/x which when the denominator is separated becomes x/x+5/x = 1+5/x thats it....why do u ask about 1-5/(x+5) ?

OpenStudy (anonymous):

grr im sorry its k) not j)

OpenStudy (anonymous):

my fault

hartnn (hartnn):

okk

hartnn (hartnn):

\(\huge \frac{x}{x+5}=\frac{x+5-5}{x+5}=\frac{x+5}{x+5}-\frac{5}{x+5}\) did u get this ?

hartnn (hartnn):

added and subtracted 5 in numerator to get x+5

OpenStudy (anonymous):

no i didnt get this, thats why i was asking. but your explanation is great and exactly what i was looking for. now i completely get it.

OpenStudy (anonymous):

thank you :)

hartnn (hartnn):

ok, welcome ^_^

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