Tanvy cuts 54 m of cloth into pieces, each of length $3\dfrac{3}{8}$ m. How many pieces does she get?

Given, total length of cloth = 54 m

Length of each piece = $3\dfrac{3}{8}$ m

Let n be the number of pieces.

By formula,

Total length = Number of pieces x length of each piece

$\Rightarrow n \times 3\dfrac{3}{8} = 54\\[1em] \Rightarrow n \times \dfrac{27}{8} = 54\\[1em] \Rightarrow n = 54 ÷ \dfrac{27}{8}\\[1em] \Rightarrow n = 54 \times \dfrac{8}{27}\\[1em] \Rightarrow n = \dfrac{54}{27} \times 8 \\[1em] \Rightarrow n = 2 \times 8 \\[1em] \Rightarrow n = 16.$

Hence, the number of pieces = 16.