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\frac{15}{2}+1
Cancel out \frac{2}{3} and its reciprocal \frac{3}{2}.
\frac{15}{2}+\frac{2}{2}
Convert 1 to fraction \frac{2}{2}.
\frac{15+2}{2}
Since \frac{15}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.
\frac{17}{2}
Add 15 and 2 to get 17.