Evaluate: \(\rm \frac{1}{\left(\frac{5}{6}\right)+\left(\frac{7}{9}\right)}\div \frac{5}{23}\)

1
\(\rm 2\frac{124}{145}\)
2
\(4\frac{1}{27}\)
3
\(2\frac{5}{6}\)
4
\(2\frac{53}{61}\)

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