I know that $a(b)^{-1} b(b+d)^{-1} + c(d)^{-1} d(b+d)^{-1} = (a+c)(b+d)^{-1}$. Can this identity help me to prove the inequality?
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Another one: https://math.stackexchange.com/q/751155/42969. – Martin R Oct 22 '18 at 19:35
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there is no Information about a and b and they are also reals and not integers. – RM777 Oct 22 '18 at 19:35
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1Have a look at the second link. Also the answers in the first link prove the general statement about real numbers. – Martin R Oct 22 '18 at 19:36