Rational numbers and powers

What is the result of 0.1/0.01 + 0.01/0.001 + 0.001/0.0001=?

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... we can rewrite the problem as:
10^-1/10^-2 + 10^-2/10^-3 - 10^-3/10^-4=?

Now we can pass the denominators to the numerator ...