Chapter 1 - Introduction to Algebraic Expressions - 1.7 Multiplication and Division of Real Numbers - 1.7 Exercise Set - Page 58: 92

$-\dfrac{24}{43}$

To find the reciprocal of a number, interchange the numerator and the denominator. Hence, the reciprocal of the expression, $ \dfrac{43}{-24} $, is \begin{array}{l}\require{cancel} \dfrac{-24}{43} \\\\= -\dfrac{24}{43} .\end{array}