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\frac{\frac{1}{9}-\frac{3}{9}}{\frac{1}{5}}
Least common multiple of 9 and 3 is 9. Convert \frac{1}{9} and \frac{1}{3} to fractions with denominator 9.
\frac{\frac{1-3}{9}}{\frac{1}{5}}
Since \frac{1}{9} and \frac{3}{9} have the same denominator, subtract them by subtracting their numerators.
\frac{-\frac{2}{9}}{\frac{1}{5}}
Subtract 3 from 1 to get -2.
-\frac{2}{9}\times 5
Divide -\frac{2}{9} by \frac{1}{5} by multiplying -\frac{2}{9} by the reciprocal of \frac{1}{5}.
\frac{-2\times 5}{9}
Express -\frac{2}{9}\times 5 as a single fraction.
\frac{-10}{9}
Multiply -2 and 5 to get -10.
-\frac{10}{9}
Fraction \frac{-10}{9} can be rewritten as -\frac{10}{9} by extracting the negative sign.