Answer: [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
The given expression : [tex]-\dfrac{2}{9}-(-\dfrac{1}{3}\div\dfrac{3}{5})[/tex]
Since , [tex]\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\times\dfrac{d}{c}[/tex]
Then , [tex]-\dfrac{2}{9}-(-\dfrac{1}{3}\div\dfrac{3}{5})=-\dfrac{2}{9}-(-\dfrac{1}{3}\times\dfrac{5}{3})[/tex]
[tex]=-\dfrac{2}{9}-(-\dfrac{5}{9})[/tex]
[tex]=-\dfrac{2}{9}+\dfrac{5}{9}\ \ \ \ [\because\ (-)(-)=+][/tex]
[tex]=\dfrac{-2+5}{9}=\dfrac{3}{9}\\\\=\dfrac{1}{3}[/tex]
Hence , the answer is [tex]\dfrac{1}{3}[/tex] .
