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\frac{5+2}{5}-\frac{1}{3}
Multiply 1 and 5 to get 5.
\frac{7}{5}-\frac{1}{3}
Add 5 and 2 to get 7.
\frac{21}{15}-\frac{5}{15}
Least common multiple of 5 and 3 is 15. Convert \frac{7}{5} and \frac{1}{3} to fractions with denominator 15.
\frac{21-5}{15}
Since \frac{21}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.
\frac{16}{15}
Subtract 5 from 21 to get 16.