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\frac{3+2}{3}+0.5\times \frac{2}{3}
Multiply 1 and 3 to get 3.
\frac{5}{3}+0.5\times \frac{2}{3}
Add 3 and 2 to get 5.
\frac{5}{3}+\frac{1}{2}\times \frac{2}{3}
Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.
\frac{5}{3}+\frac{1\times 2}{2\times 3}
Multiply \frac{1}{2} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{5}{3}+\frac{1}{3}
Cancel out 2 in both numerator and denominator.
\frac{5+1}{3}
Since \frac{5}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.
\frac{6}{3}
Add 5 and 1 to get 6.
2
Divide 6 by 3 to get 2.