What are the algebraic steps involved in transforming

Question

anonymous · Answer

$$(x+5)/x $$ into $$1-5/(x+5)$$

jhonyy9 · Answer

this minus how you have got it ?

hartnn · Answer

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

anonymous · Answer

jhonyy9 · Answer

so and the denominator is just x and not plus 5

anonymous · Answer

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

anonymous · Answer

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

hartnn · Answer

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) ?

anonymous · Answer

grr im sorry
its k) not j)

anonymous · Answer

my fault

hartnn · Answer

okk

hartnn · Answer

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

hartnn · Answer

added and subtracted 5 in numerator to get x+5

anonymous · Answer

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.

anonymous · Answer

thank you :)

hartnn · Answer

ok, welcome ^_^