(a+(b/c)) /(d-(b/c))

$$\\(a+\frac{b}{c})\div(d-\frac{b}{c})\\\\
=(\frac{ac+b}{c})\div(\frac{dc-b}{c})\\\\
=(\frac{ac+b}{c})\times(\frac{c}{dc-b})\\\\
=(\frac{ac+b}{\not{c}})\times(\frac{\not{c}}{dc-b})\\\\
=\frac{ac+b}{dc-b}\\\\$$

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