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1-\frac{4}{5}+\frac{2}{15}
Divide 3 by 3 to get 1.
\frac{5}{5}-\frac{4}{5}+\frac{2}{15}
Convert 1 to fraction \frac{5}{5}.
\frac{5-4}{5}+\frac{2}{15}
Since \frac{5}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{5}+\frac{2}{15}
Subtract 4 from 5 to get 1.
\frac{3}{15}+\frac{2}{15}
Least common multiple of 5 and 15 is 15. Convert \frac{1}{5} and \frac{2}{15} to fractions with denominator 15.
\frac{3+2}{15}
Since \frac{3}{15} and \frac{2}{15} have the same denominator, add them by adding their numerators.
\frac{5}{15}
Add 3 and 2 to get 5.
\frac{1}{3}
Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.