Question

1/b divided by 1/a-1/b anyone wanna try take a whack at that?

Answer 1

First need to combine the 1/a - 1/b.

Multiply the first by b/b and the second by a/a to make them have a common denominator.

b/ab - a/ab = (b-a)/ab

Now we can use the reciprocal of that to do the division.

1/b * [(ab)/(b-a)]

You can multiply and simplify from there.

Answer 2

little confused

Answer 3

Okay.

If I have 1/4 - 1/5 I need to make a common denominator in order to subtract them.
In this case I would multiply the first by 5/5 and the second by 4/4 to make them have the same denominator of 20.

The same applies when you have 1/a - 1/b only this time with variables.

I multiply the first by b/b and the second by a/a so they will both have a denominator of ab.

Answer 4

(1/a) * (b/b) = b/ab
(1/b) * (a/a) = a/ab

b/ab - a/ab = (b-a)/ab

Answer 5

Then I need to take

1/b divided by (b-a)/ab

So I keep the first fraction, change the operation to multiplication, and flip the second fraction (this is how you multiply fractions).

(1/b) * ab/(b-a)

Then you can just multiply across the numerator and denominator like you multiply any two fractions.

The numerator is ab.
The denominator is b(b-a)