If (a/b)=(c/d), prove (a+b)/(a-b)=(c+d)/(c-d).

Question

hartnn · Answer

hint :
1.Add 1 on both sides---->(1)
2.subtract 1 from both sides ---->(2)
3. divide : (1)/(2)

hartnn · Answer

@Mello did u get it or should i show detailed steps??

anonymous · Answer

Yes, please. My brain isn't getting it.

anonymous · Answer

I got step 1...

anonymous · Answer

Im a bit lost from there.

hartnn · Answer

so u must have got :
$\frac{a+b}{b}=\frac{c+d}{d}$------->(1)
right?
Step 2:
subtract 1 from both sides:
$\frac{a}{b}-1=\frac{c}{d}-1$
$\frac{a-b}{b}=\frac{c-d}{d}$------->(2)
got step 2 ??

anonymous · Answer

@hartnn Right. Oh subtract from the original. OK.

hartnn · Answer

sorry i didn't mention that,
now divide: (1) / (2)
did u see how u get your final result after dividing??

anonymous · Answer

How would you divide an equation by an equation?

hartnn · Answer

ofcourse we can:
if x=y 
and w=z
after dividing we get
(x/w)=(y/z)
try dividing here.
if u don't get, i'll show that step.

anonymous · Answer

Oh, right. I remember learning something like that. I think I should be able to manage from here

hartnn · Answer

good,let me know if u still have doubts or could not get final answer.

anonymous · Answer

Alrighty, Thank you so much for the help!

hartnn · Answer

welcome :)

anonymous · Answer

Got it! Thanks again.