How can I express A and B as fractions from c = A b/a + Bd?

[Monster92]

I did the first section of the question. I rearranged a = 4b / (6c -5d) to be c = (A b/a) + Bd

but then it says express A and B as fractions in their simplest form. Is the question worded wrong? I've never seen anything like this before?

 

[micromass]

Can you rearrange

$$a=\frac{4b}{6c-5d}$$

into something like

$$c=...$$