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\frac{5}{90}+\frac{9}{90}
Least common multiple of 18 and 10 is 90. Convert \frac{1}{18} and \frac{1}{10} to fractions with denominator 90.
\frac{5+9}{90}
Since \frac{5}{90} and \frac{9}{90} have the same denominator, add them by adding their numerators.
\frac{14}{90}
Add 5 and 9 to get 14.
\frac{7}{45}
Reduce the fraction \frac{14}{90} to lowest terms by extracting and canceling out 2.