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jmc

prealgebra junior

Problem

Many calculators have a reciprocal key that replaces the current number displayed with its reciprocal. For example, if the display is and the key is depressed, then the display becomes . If is currently displayed, what is the fewest number of times you must depress the key so the display again reads ?
(A)
(B)
(C)
(D)
Solution
Let . We have Thus, we need to iterate the key pressing twice to get the display back to the original .
Final answer
B