Evaluate: (2)/(3)+(1)/(2) \times 3 (1)/(2)

Expression: $\frac{ 2 }{ 3 }+\frac{ 1 }{ 2 } \times 3 \frac{ 1 }{ 2 }$

Convert the mixed number to an improper fraction

$\frac{ 2 }{ 3 }+\frac{ 1 }{ 2 } \times \frac{ 7 }{ 2 }$

Multiply the fractions

$\frac{ 2 }{ 3 }+\frac{ 7 }{ 4 }$

Add the fractions

$\begin{align*}&\frac{ 29 }{ 12 } \\&\begin{array} { l }2 \frac{ 5 }{ 12 },& 2.41\overset{ \cdot }{ 6 } \end{array}\end{align*}$