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\frac{5+2}{5}-\frac{4}{6}
Multiply 1 and 5 to get 5.
\frac{7}{5}-\frac{4}{6}
Add 5 and 2 to get 7.
\frac{7}{5}-\frac{2}{3}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.
\frac{21}{15}-\frac{10}{15}
Least common multiple of 5 and 3 is 15. Convert \frac{7}{5} and \frac{2}{3} to fractions with denominator 15.
\frac{21-10}{15}
Since \frac{21}{15} and \frac{10}{15} have the same denominator, subtract them by subtracting their numerators.
\frac{11}{15}
Subtract 10 from 21 to get 11.