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-\frac{8}{20}-\frac{15}{20}
Least common multiple of 5 and 4 is 20. Convert -\frac{2}{5} and \frac{3}{4} to fractions with denominator 20.
\frac{-8-15}{20}
Since -\frac{8}{20} and \frac{15}{20} have the same denominator, subtract them by subtracting their numerators.
-\frac{23}{20}
Subtract 15 from -8 to get -23.