Verified Answer :

LammettHash

Each of A, C, and D are rational, so presumably B is the answer here.

A is rational, since \(10\times0.3=3\), so \(0.3=\dfrac3{10}\).

C is also rational. If \(x=0.777\ldots\), then \(10x=7.777\ldots\). This would mean \(10x-x=9x=7\), and so \(x=\dfrac79\).

D is rational by a similar argument. If \(x=0.4545\ldots\), then \(100x=45.4545\ldots\). So, \(100x-x=99x=45\), which means \(x=\dfrac{45}{99}=\dfrac5{11}\).

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