Đáp án:
$a) x=\dfrac{486}{3703}\\
b)
x=\dfrac{40}{81}$
Giải thích các bước giải:
$a)\dfrac{7}{6}.x=\dfrac{18}{23}:\dfrac{46}{9}\\
\Leftrightarrow \dfrac{7}{6}.x=\dfrac{18}{23}.\dfrac{9}{46}\\
\Leftrightarrow \dfrac{7}{6}.x=\dfrac{81}{529}\\
\Leftrightarrow x=\dfrac{81}{529}.\dfrac{6}{7}\\
\Leftrightarrow x=\dfrac{486}{3703}\\
b)
x:\dfrac{5}{6}=\dfrac{2}{3}:\dfrac{9}{8}\\
\Leftrightarrow x.\dfrac{6}{5}=\dfrac{2}{3}.\dfrac{8}{9}\\
\Leftrightarrow x.\dfrac{6}{5}=\dfrac{16}{27}\\
\Leftrightarrow x=\dfrac{16}{27}.\dfrac{5}{6}\\
\Leftrightarrow x=\dfrac{40}{81}$