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-\frac{1}{2}-\left(-\frac{1}{25}\right)
Fraction \frac{1}{-25} can be rewritten as -\frac{1}{25} by extracting the negative sign.
-\frac{1}{2}+\frac{1}{25}
The opposite of -\frac{1}{25} is \frac{1}{25}.
-\frac{25}{50}+\frac{2}{50}
Least common multiple of 2 and 25 is 50. Convert -\frac{1}{2} and \frac{1}{25} to fractions with denominator 50.
\frac{-25+2}{50}
Since -\frac{25}{50} and \frac{2}{50} have the same denominator, add them by adding their numerators.
-\frac{23}{50}
Add -25 and 2 to get -23.