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5-\sqrt{\frac{1}{9}}-\frac{11}{3}
Calculate the square root of 25 and get 5.
5-\frac{1}{3}-\frac{11}{3}
Rewrite the square root of the division \frac{1}{9} as the division of square roots \frac{\sqrt{1}}{\sqrt{9}}. Take the square root of both numerator and denominator.
\frac{15}{3}-\frac{1}{3}-\frac{11}{3}
Convert 5 to fraction \frac{15}{3}.
\frac{15-1}{3}-\frac{11}{3}
Since \frac{15}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{14}{3}-\frac{11}{3}
Subtract 1 from 15 to get 14.
\frac{14-11}{3}
Since \frac{14}{3} and \frac{11}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{3}
Subtract 11 from 14 to get 3.
1
Divide 3 by 3 to get 1.