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\frac{18+1}{6}+2+\frac{2\times 3+1}{3}
Multiply 3 and 6 to get 18.
\frac{19}{6}+2+\frac{2\times 3+1}{3}
Add 18 and 1 to get 19.
\frac{19}{6}+\frac{12}{6}+\frac{2\times 3+1}{3}
Convert 2 to fraction \frac{12}{6}.
\frac{19+12}{6}+\frac{2\times 3+1}{3}
Since \frac{19}{6} and \frac{12}{6} have the same denominator, add them by adding their numerators.
\frac{31}{6}+\frac{2\times 3+1}{3}
Add 19 and 12 to get 31.
\frac{31}{6}+\frac{6+1}{3}
Multiply 2 and 3 to get 6.
\frac{31}{6}+\frac{7}{3}
Add 6 and 1 to get 7.
\frac{31}{6}+\frac{14}{6}
Least common multiple of 6 and 3 is 6. Convert \frac{31}{6} and \frac{7}{3} to fractions with denominator 6.
\frac{31+14}{6}
Since \frac{31}{6} and \frac{14}{6} have the same denominator, add them by adding their numerators.
\frac{45}{6}
Add 31 and 14 to get 45.
\frac{15}{2}
Reduce the fraction \frac{45}{6} to lowest terms by extracting and canceling out 3.