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147-\left(\frac{1-3}{2}-1\right)
Since \frac{1}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.
147-\left(\frac{-2}{2}-1\right)
Subtract 3 from 1 to get -2.
147-\left(-1-1\right)
Divide -2 by 2 to get -1.
147-\left(-2\right)
Subtract 1 from -1 to get -2.
147+2
The opposite of -2 is 2.
149
Add 147 and 2 to get 149.