Intermediate Algebra: solving 1/a + a/b = c for b

[Helen]

I am having some trouble with this , can you help?
1/a + 1/b = c for b
I don't know how to set it up, but once I do, I will try hard to figure it out.

 

[skeeter]

start by multiplying every term by ab to clear the fractions ... then solve for b.

 

[Helen]

Re: Intermediate Algebra

Thank you Skeeter, I will try to figure it out. Helen

 

[Deleted member 4993]

Re: Intermediate Algebra

I am having some trouble with this , can you help?
1/a + 1/b = c for b
I don't know how to set it up, but once I do, I will try hard to figure it out.

Another way

Isolate 'b'

1/b = c - 1/a

simplify right-hand-side

1/b = (ac - 1)/a

Now invert both sides to get 'b'

 

[Helen]

Re: Intermediate Algebra

Subhotosh Kahn, I appreciate your help. Helen