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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{7}{20}
Subtract 15 from 8 to get -7.