First, we need to transform the mixed number into a fraction as:
[tex]5\frac{7}{9}=\frac{5\cdot9+7}{9}=\frac{52}{9}[/tex]Then, we can make the division:
[tex]\frac{52}{9}=5.77777\ldots=5.\bar{7}[/tex]So, the equivalent decimal is 5.7777...
Answer: 5.77777...