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This is a super basic algebra question but I can't figure out how you get the alternate form of: $$\frac ab = \frac cd$$

Which is: $$\frac {a+b}b = \frac{c+d}d$$

The process explaining how we arrive to the alternate form

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$1=\frac{b}{b}=\frac{d}{d}$. Add one to both sides of the equation $\frac{a}{b}=\frac{c}{d}$.

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