17 Jul 2013

Decimal Expansions of Reciprocals: Middle Secondary Mathematics Competition Question

The Golden Ratio φ (phi) has the peculiar property that the decimal expansion of φ (1.6180339887...) is identical to that of its reciprocal, 1/ φ (0. 6180339887...).

How many other pairs of positive real numbers below 10 have this property?

Show one of your solutions.

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