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

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The discussion centers on the equation a = 4b / (6c - 5d) and the challenge of expressing variables A and B as fractions in their simplest form. The user successfully rearranged the equation to c = (A b/a) + Bd but is confused about the requirement to express A and B as fractions. There is uncertainty about whether the question is worded incorrectly, as the user has not encountered a similar problem before. The conversation highlights the difficulty in translating the initial equation into the desired format. Clarification on the expression of A and B is sought to resolve the confusion.
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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?
 
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Can you rearrange

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

into something like

c=...
 
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