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3\times 9-2\times \frac{1}{2}+4^{-1}
Calculate the square root of 81 and get 9.
27-2\times \frac{1}{2}+4^{-1}
Multiply 3 and 9 to get 27.
27-1+4^{-1}
Multiply 2 and \frac{1}{2} to get 1.
26+4^{-1}
Subtract 1 from 27 to get 26.
26+\frac{1}{4}
Calculate 4 to the power of -1 and get \frac{1}{4}.
\frac{105}{4}
Add 26 and \frac{1}{4} to get \frac{105}{4}.