Answer
$\dfrac{44}{45}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
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}
