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-\frac{3}{2}-\frac{-5}{8}
Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.
-\frac{3}{2}-\left(-\frac{5}{8}\right)
Fraction \frac{-5}{8} can be rewritten as -\frac{5}{8} by extracting the negative sign.
-\frac{3}{2}+\frac{5}{8}
The opposite of -\frac{5}{8} is \frac{5}{8}.
-\frac{12}{8}+\frac{5}{8}
Least common multiple of 2 and 8 is 8. Convert -\frac{3}{2} and \frac{5}{8} to fractions with denominator 8.
\frac{-12+5}{8}
Since -\frac{12}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.
-\frac{7}{8}
Add -12 and 5 to get -7.