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\frac{1}{\frac{5}{9}\times 3}
Calculate the square root of 9 and get 3.
\frac{1}{\frac{5\times 3}{9}}
Express \frac{5}{9}\times 3 as a single fraction.
\frac{1}{\frac{15}{9}}
Multiply 5 and 3 to get 15.
\frac{1}{\frac{5}{3}}
Reduce the fraction \frac{15}{9} to lowest terms by extracting and canceling out 3.
1\times \frac{3}{5}
Divide 1 by \frac{5}{3} by multiplying 1 by the reciprocal of \frac{5}{3}.
\frac{3}{5}
Multiply 1 and \frac{3}{5} to get \frac{3}{5}.