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\frac{3+2}{3}+\frac{4}{5}
Multiply 1 and 3 to get 3.
\frac{5}{3}+\frac{4}{5}
Add 3 and 2 to get 5.
\frac{25}{15}+\frac{12}{15}
Least common multiple of 3 and 5 is 15. Convert \frac{5}{3} and \frac{4}{5} to fractions with denominator 15.
\frac{25+12}{15}
Since \frac{25}{15} and \frac{12}{15} have the same denominator, add them by adding their numerators.
\frac{37}{15}
Add 25 and 12 to get 37.