Answer
$\dfrac{5}{6}$
Work Step by Step
Recall:
$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$
Thus,
$-\frac{1}{2} \div \left(-\frac{3}{5}\right)
\\=-\frac{1}{2} \times \left(-\frac{5}{3}\right)
\\=\frac{5}{6}$
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