Find the quotient:

$\dfrac{-16}{35} \div \dfrac{15}{14}$

To divide one rational number by another, multiply the dividend by the reciprocal of the divisor.

Dividing,

$\dfrac{-16}{35} \div \dfrac{15}{14} = \dfrac{-16}{35} \times \dfrac{14}{15} \\[1em] = \dfrac{(-16) \times 14}{35 \times 15} \\[1em] = \dfrac{-224}{525} \\[1em] = \dfrac{-32}{75}$

Hence, $\mathbf{\dfrac{-16}{35} \div \dfrac{15}{14} = \dfrac{-32}{75}}$.