Answer
$-\dfrac{3}{10}$
Work Step by Step
RECALL:
$\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \cdot \dfrac{d}{c}$
Use the rule above to obtain:
$\\=\dfrac{1}{4} \cdot \dfrac{6}{-5}$
Factor then cancel the common factors to obtain:
$\require{cancel}
\\=\dfrac{1}{2 \cdot 2} \cdot \dfrac{2 \cdot 3}{-5}
\\=\dfrac{1}{\cancel{2} \cdot 2} \cdot \dfrac{\cancel{2} \cdot 3}{-5}
\\=\dfrac{1 \cdot 3}{2 \cdot (-5)}
\\=-\dfrac{3}{10}$
