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\frac{2+1}{2}+\frac{3\times 5+4}{5}
Multiply 1 and 2 to get 2.
\frac{3}{2}+\frac{3\times 5+4}{5}
Add 2 and 1 to get 3.
\frac{3}{2}+\frac{15+4}{5}
Multiply 3 and 5 to get 15.
\frac{3}{2}+\frac{19}{5}
Add 15 and 4 to get 19.
\frac{15}{10}+\frac{38}{10}
Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{19}{5} to fractions with denominator 10.
\frac{15+38}{10}
Since \frac{15}{10} and \frac{38}{10} have the same denominator, add them by adding their numerators.
\frac{53}{10}
Add 15 and 38 to get 53.