To calculate the new salary after a decrease of \( 6 \frac{2}{3} % \), we follow these steps:
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Convert \( 6 \frac{2}{3} % \) to an improper fraction: \[ 6 \frac{2}{3} % = \frac{20}{3} % \]
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Convert this percentage to a decimal by dividing by 100: \[ \frac{20}{3} % = \frac{20}{3 \times 100} = \frac{20}{300} = \frac{1}{15} \]
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Calculate the amount of the decrease from the original salary of #180: \[ \text{Decrease} = 180 \times \frac{1}{15} = 12 \]
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Subtract the decrease from the original salary: \[ \text{New Salary} = 180 - 12 = 168 \]
Thus, the man's new salary after the decrease is #168.