((-3)/(5))-((-2)/(8))=

To solve the expression \((\frac{-3}{5}) - (\frac{-2}{8})\), we need to follow these steps:<br /><br />1. Simplify the expression by removing the negative signs inside the parentheses:<br /> \[<br /> \frac{-3}{5} - \frac{-2}{8} = \frac{-3}{5} + \frac{2}{8}<br /> \]<br /><br />2. Find a common denominator for the fractions. The least common multiple of 5 and 8 is 40.<br /><br />3. Convert each fraction to have the common denominator of 40:<br /> \[<br /> \frac{-3}{5} = \frac{-3 \times 8}{5 \times 8} = \frac{-24}{40}<br /> \]<br /> \[<br /> \frac{2}{8} = \frac{2 \times 5}{8 \times 5} = \frac{10}{40}<br /> \]<br /><br />4. Add the fractions:<br /> \[<br /> \frac{-24}{40} + \frac{10}{40} = \frac{-24 + 10}{40} = \frac{-14}{40}<br /> \]<br /><br />5. Simplify the resulting fraction:<br /> \[<br /> \frac{-14}{40} = \frac{-7}{20}<br /> \]<br /><br />So, the correct answer is:<br />\[<br />\boxed{\frac{-7}{20}}<br />\]