$\dfrac{7}{18}+$ $\dfrac{5}{3}$ x $1\dfrac{3}{9}:$ $\dfrac{55}{4}$
= $\dfrac{7}{18}+$ $\dfrac{5}{3}$ x $\dfrac{4}{3}:$ $\dfrac{55}{4}$
${=}$ $\dfrac{7}{18}+$ $\dfrac{20}{9}:$ $\dfrac{55}{4}$
$=\dfrac{7}{18}+$ $\dfrac{16}{99}$
${=}$ $\dfrac{693}{1782}+$ $\dfrac{288}{1782}$
${=}$ $\dfrac{981}{1782}=$ $\dfrac{109}{198}$