Question 1102520
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If the sum of a number and twice its reciprocal is the rational number 33/4, then almost certainly the number and its reciprocal are both rational numbers.<br>
33/4 is 8 1/4....<br>
So skip the algebra:  {{{8 + 2(1/8) = 8 + 1/4 = 33/4}}}<br>
The number and it reciprocal are, in either order, 8 and 1/8.