## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$\dfrac{44}{45}$
$\bf{\text{Solution Outline:}}$ To simplify the given expression, $\dfrac{8}{15}\div\dfrac{6}{11} ,$ multiply the dividend by the reciprocal of the divisor. $\bf{\text{Solution Details:}}$ To divide fractions, multiply the dividend by the reciprocal of the divisor. That is: \begin{array}{l}\require{cancel} \dfrac{8}{15}\div\dfrac{6}{11} \\\\= \dfrac{8}{15}\cdot\dfrac{11}{6} \\\\= \dfrac{\cancel2(4)}{15}\cdot\dfrac{11}{\cancel2(3)} \\\\= \dfrac{44}{45} .\end{array}