Answer
$\dfrac{27}{25}$
Work Step by Step
Multiplying the numerators and the denominators, the given expression, $
\dfrac{9}{10}\cdot\dfrac{6}{5}
$, simplifies to
\begin{array}{l}\require{cancel}
\dfrac{9(6)}{10(5)}
\\\\=
\dfrac{9(\cancel{2}\cdot3)}{\cancel{2}\cdot5(5)}
\\\\=
\dfrac{27}{25}
.\end{array}
