To perform the calculation \(-3 \frac{7}{20} + 8 + (-2.65)\), we'll first convert everything into a common format. Let's break it down step by step:
Convert \(-3 \frac{7}{20}\) to an improper fraction: \[ -3 \frac{7}{20} = -\left(3 \times 20 + 7\right)/20 = -\frac{60 + 7}{20} = -\frac{67}{20} \]
Convert 8 to a fraction with a denominator of 20: \[ 8 = \frac{8 \times 20}{20} = \frac{160}{20} \]
Convert \(-2.65\) to a fraction: \[ -2.65 = -\frac{265}{100} = -\frac{53}{20} \quad (\text{after simplifying } \frac{265}{100} \text{ by dividing by 5}) \]
Now we can combine all the terms: \[ -\frac{67}{20} + \frac{160}{20} - \frac{53}{20} \]
Combine the fractions: \[ = \frac{-67 + 160 - 53}{20} = \frac{40}{20} = 2 \]
So, the result of \(-3 \frac{7}{20} + 8 + (-2.65)\) is \(2\).
