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\frac{1}{2}+\left(\frac{1}{2}\right)^{-1}-2017^{0}
Rewrite the square root of the division \frac{1}{4} as the division of square roots \frac{\sqrt{1}}{\sqrt{4}}. Take the square root of both numerator and denominator.
\frac{1}{2}+2-2017^{0}
Calculate \frac{1}{2} to the power of -1 and get 2.
\frac{5}{2}-2017^{0}
Add \frac{1}{2} and 2 to get \frac{5}{2}.
\frac{5}{2}-1
Calculate 2017 to the power of 0 and get 1.
\frac{3}{2}
Subtract 1 from \frac{5}{2} to get \frac{3}{2}.