Solve: -1/25 + (-1/5) - (-19/25) | Negative Fraction Operations

To solve this problem, we'll follow these steps:

• Step 1: Convert all fractions to a common denominator of $25$.
• Step 2: Simplify the expression using equivalent fractions and arithmetic operations.
• Step 3: Combine the results following the arithmetic rules.

Now, let's work through each step:
Step 1: Convert $-\frac{1}{5}$ to an equivalent fraction with denominator $25$. Since $\frac{1}{5} = \frac{5}{25}$, we have: $-\frac{1}{5} = -\frac{5}{25}$.
Step 2: The expression becomes $-\frac{1}{25} + (-\frac{5}{25}) + \frac{19}{25}$. The $-(-\frac{19}{25})$ simplifies to $+\frac{19}{25}$.
Step 3: Perform the arithmetic on the numerators: $-1 + (-5) + 19 = -1 -5 + 19 = 13$.
Therefore, the solution simplifies to $\frac{13}{25}$.

Therefore, the solution to the problem is $\frac{13}{25}$.