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-\frac{9}{90}+\frac{5}{90}
Least common multiple of 10 and 18 is 90. Convert -\frac{1}{10} and \frac{1}{18} to fractions with denominator 90.
\frac{-9+5}{90}
Since -\frac{9}{90} and \frac{5}{90} have the same denominator, add them by adding their numerators.
\frac{-4}{90}
Add -9 and 5 to get -4.
-\frac{2}{45}
Reduce the fraction \frac{-4}{90} to lowest terms by extracting and canceling out 2.