Compute. \( \frac{5}{17} \cdot 3 \frac{6}{15}-\frac{4}{5} \)

Calculate the value by following steps: - step0: Calculate: \(\frac{6}{15}\) - step1: Reduce the fraction: \(\frac{2}{5}\) Calculate or simplify the expression \( (5/17) * (3 + 6/15) - (4/5) \). Calculate the value by following steps: - step0: Calculate: \(\frac{5}{17}\left(3+\frac{6}{15}\right)-\frac{4}{5}\) - step1: Reduce the fraction: \(\frac{5}{17}\left(3+\frac{2}{5}\right)-\frac{4}{5}\) - step2: Add the numbers: \(\frac{5}{17}\times \frac{17}{5}-\frac{4}{5}\) - step3: Multiply the numbers: \(1-\frac{4}{5}\) - step4: Reduce fractions to a common denominator: \(\frac{5}{5}-\frac{4}{5}\) - step5: Transform the expression: \(\frac{5-4}{5}\) - step6: Subtract the numbers: \(\frac{1}{5}\) Let's solve the expression step by step. 1. **Convert the mixed number to an improper fraction:** \[ 3 \frac{6}{15} = 3 + \frac{6}{15} = 3 + \frac{2}{5} = \frac{15}{5} + \frac{2}{5} = \frac{17}{5} \] 2. **Substitute this back into the expression:** \[ \frac{5}{17} \cdot \frac{17}{5} - \frac{4}{5} \] 3. **Now, compute the multiplication:** \[ \frac{5}{17} \cdot \frac{17}{5} = 1 \] 4. **Subtract \(\frac{4}{5}\) from 1:** \[ 1 - \frac{4}{5} = \frac{5}{5} - \frac{4}{5} = \frac{1}{5} \] Thus, the final result is: \[ \frac{1}{5} \quad \text{or} \quad 0.2 \]