Olá,
[tex] \tt \: \frac{16}{5} \div \frac{10}{9} \\ \tt \: = \frac{ \frac{16}{5} }{ \frac{10}{9} } \\ \tt \: = \frac{16}{5} \cdot \: \frac{9}{10} \\ \tt = \frac{2 \cdot \: 8}{5} \cdot \: \frac{9}{2 \cdot5} \\ \tt \: = \frac{ \cancel{2} \cdot \: 8}{5} \cdot \: \frac{9}{ \cancel{2} \cdot \: 5} \\ \tt = \frac{8}{5} \cdot \: \frac{9}{5} \\ \tt = \frac{72}{25} \\ \tt = 2{,}88 \\ [/tex]
