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The fraction is 1/2. (or more generally, +/- one half)

Where a ratio is given between the reciprocal and the fraction, the reciprocal (and denominator of the fraction) is the square root of the ratio.

1/x = 4x

1 = 4x2

4x2 = 1

x2 = 1/4

x = 1/2 (or -1/2)

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Q: What fraction has a reciprocal that is 4 times its value?
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