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-\frac{1}{4}+\frac{3}{5}
The opposite of -\frac{3}{5} is \frac{3}{5}.
-\frac{5}{20}+\frac{12}{20}
Least common multiple of 4 and 5 is 20. Convert -\frac{1}{4} and \frac{3}{5} to fractions with denominator 20.
\frac{-5+12}{20}
Since -\frac{5}{20} and \frac{12}{20} have the same denominator, add them by adding their numerators.
\frac{7}{20}
Add -5 and 12 to get 7.