# Multiplication the same as addition

Multiplication never gives the same result as addition. Or does it?

If $$a$$, $$b$$, and $$c$$ are non-negative integers, $$b$$ and $$c$$ are relatively prime, and $$a+\frac{b}{c}=a\times\frac{b}{c}$$, then what is $$b-c$$?

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