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2016 AMC 10BProblem 1P1-10~1 minPrint
Exponents, Logarithms & RadicalsFractions & DecimalsSet up the equation/formula and compute; no special trick needed

What is the value of 2a−1+a−12a\frac{2a^{-1}+\frac{a^{-1}}{2}}{a} when a=12a= \tfrac{1}{2} ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.