The reciprocal of a fraction less than or greater than 1/2? Explain your reasoning.

Answer 1

depends on the fraction

the reciprocal of 3/4 is 4/3 > 1/2
the reciprocal of 5/2 is 2/5 < 1/2

If you want 1/x > 1/2 then x < 2
and, of course, x must be positive.