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The common denominator of the two fractions is: 18

$ \frac{13}{18 }= \frac{(1*13)}{(1*18)} =\frac{ 13}{18} $

$ \frac{5}{9 }= \frac{(2*5)}{(2*9)} =\frac{ 10}{18} $

Fractions adjusted to a common denominator

$ \frac{13}{18 }-\frac{ 5}{9 }=\frac{ 13}{18 }-\frac{ 10}{18} $

$ \frac{(13-10)}{18 }=\frac{ 3}{18} $

$ \frac{3}{18 }=\frac{ 1}{6} $

$ $

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