Find the value of \(\left\{3.46 + 3\tfrac{1}{4} - 5\tfrac{1}{8} + 4.25 + 0.165\right\}\).
6
Convert the mixed fractions to decimals: \(3\tfrac14 = 3.25\) and \(5\tfrac18 = 5.125\).
Adding step by step: \(3.46 + 3.25 = 6.71\).
\(6.71 - 5.125 = 1.585\), then \(1.585 + 4.25 = 5.835\).
Finally, \(5.835 + 0.165 = 6.0\).
Hence, the value of the expression is 6.
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