Find the multiplicative inverse (or reciprocal) of:

$\dfrac{-17}{12}$

To find the multiplicative inverse (or reciprocal) of a non-zero rational number, interchange its numerator and denominator.

Interchanging the numerator and the denominator of $\dfrac{-17}{12}$, we get $\dfrac{12}{-17} = \dfrac{-12}{17}$

$[\text{Check : } \dfrac{-17}{12} \times \dfrac{-12}{17} = 1]$

Hence, the multiplicative inverse of $\mathbf{\dfrac{-17}{12} \text{ is } \dfrac{-12}{17}}$.