# An easy number theory problem

Number Theory Level pending

Positive integers $$a$$, $$b$$, $$c$$, and $$d$$ are such that $$\gcd (a,b)=1$$ and $$a<b$$, and $$\gcd(c,d)=1$$ and $$c<d$$. Then $$\dfrac{a}{b}+\dfrac{c}{d}=1$$ is true only if $$b=d$$.

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