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1\left(\frac{4}{6}+\frac{15}{6}\right)
Least common multiple of 3 and 2 is 6. Convert \frac{2}{3} and \frac{5}{2} to fractions with denominator 6.
1\times \frac{4+15}{6}
Since \frac{4}{6} and \frac{15}{6} have the same denominator, add them by adding their numerators.
1\times \frac{19}{6}
Add 4 and 15 to get 19.
\frac{19}{6}
Multiply 1 and \frac{19}{6} to get \frac{19}{6}.