Answer
$\dfrac{117}{130}$
Work Step by Step
Multiplying the numerators and multiplying the denominators, the given expression, $
\dfrac{9}{10}\cdot\dfrac{13}{13}
,$ is equivalent to
\begin{array}{l}\require{cancel}
\dfrac{9(13)}{10(13)}
\\\\=
\dfrac{117}{130}
.\end{array}