## anonymous 4 years ago If (a/b)=(c/d), prove (a+b)/(a-b)=(c+d)/(c-d).

1. hartnn

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

2. hartnn

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

3. anonymous

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

4. anonymous

I got step 1...

5. anonymous

Im a bit lost from there.

6. hartnn

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 ??

7. anonymous

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

8. hartnn

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

9. anonymous

How would you divide an equation by an equation?

10. hartnn

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.

11. anonymous

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

12. hartnn

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

13. anonymous

Alrighty, Thank you so much for the help!

14. hartnn

welcome :)

15. anonymous

Got it! Thanks again.