Chapter 1 - Introduction to Algebraic Expressions - 1.7 Multiplication and Division of Real Numbers - 1.7 Exercise Set - Page 58: 90

$-\dfrac{11}{13}$

To find the reciprocal of a number, interchange the numerator and the denominator. Hence, the reciprocal of the expression, $ -\dfrac{13}{11} $, is \begin{array}{l}\require{cancel} -\dfrac{11}{13} .\end{array}