Reciprocal Thinking

Number Between

Introduction
Courtney finds many puzzling things when she plays the computer game "Number Between". She interprets the decimal part of the number as the denominator of a fraction (i.e. as the number of pieces something has been divided into). She is unable to find a number between 0.45 and 0.5, because she is searching between 1/45 and 1/5.

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