Answer:

• Refer the attachment:)

Verified answer

Step-by-step explanation:

[tex] \\ \left( \frac{5}{9} \div 2 \times \frac{1 }{9} \right ) \div \frac{12}{19}[/tex]

[tex] \\ \rm\implies \left( \frac{5}{9} \div \frac{2}{9} \right) \div \frac{12}{19} [/tex]

Use this rule:[tex]\displaystyle \rm a\div \frac{b}{c}=a\times \frac{c}{b}[/tex]

.

[tex] \\ \implies \left(\frac{5}{9}\times \frac{9}{2} \right)\div \frac{12}{19}[/tex]

[tex] \\ \rm \implies \left(5 \times \frac{1}{2} \right ) \div \frac{12}{19} [/tex]

[tex] \\ \rm\implies \frac{5}{2} \div \frac{12}{19} [/tex]

[tex] \\ \rm\implies \frac{5}{2} \times \frac{19}{12} [/tex]

[tex] \\ \red{\rm\implies \frac{95}{24} }[/tex]