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\left(\frac{15}{8}-\frac{3}{2}\right)^{-1}
Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.
\left(\frac{3}{8}\right)^{-1}
Subtract \frac{3}{2} from \frac{15}{8} to get \frac{3}{8}.
\frac{8}{3}
Calculate \frac{3}{8} to the power of -1 and get \frac{8}{3}.