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4+\frac{2}{3}+5+1+2
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.
\frac{12}{3}+\frac{2}{3}+5+1+2
Convert 4 to fraction \frac{12}{3}.
\frac{12+2}{3}+5+1+2
Since \frac{12}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.
\frac{14}{3}+5+1+2
Add 12 and 2 to get 14.
\frac{14}{3}+\frac{15}{3}+1+2
Convert 5 to fraction \frac{15}{3}.
\frac{14+15}{3}+1+2
Since \frac{14}{3} and \frac{15}{3} have the same denominator, add them by adding their numerators.
\frac{29}{3}+1+2
Add 14 and 15 to get 29.
\frac{29}{3}+\frac{3}{3}+2
Convert 1 to fraction \frac{3}{3}.
\frac{29+3}{3}+2
Since \frac{29}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.
\frac{32}{3}+2
Add 29 and 3 to get 32.
\frac{32}{3}+\frac{6}{3}
Convert 2 to fraction \frac{6}{3}.
\frac{32+6}{3}
Since \frac{32}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.
\frac{38}{3}
Add 32 and 6 to get 38.