Solve for: (3.27+1 (1)/(8)) * 1.2+(2)/(5)

Expression: $\left( 3.27+1 \frac{ 1 }{ 8 } \right) \times 1.2+\frac{ 2 }{ 5 }$

Convert the decimal into a fraction

$\left( \frac{ 327 }{ 100 }+1 \frac{ 1 }{ 8 } \right) \times 1.2+\frac{ 2 }{ 5 }$

Convert the mixed number to an improper fraction

$\left( \frac{ 327 }{ 100 }+\frac{ 9 }{ 8 } \right) \times 1.2+\frac{ 2 }{ 5 }$

Convert the decimal into a fraction

$\left( \frac{ 327 }{ 100 }+\frac{ 9 }{ 8 } \right) \times \frac{ 6 }{ 5 }+\frac{ 2 }{ 5 }$

Add the fractions

$\frac{ 879 }{ 200 } \times \frac{ 6 }{ 5 }+\frac{ 2 }{ 5 }$

Cancel out the greatest common factor $2$

$\frac{ 879 }{ 100 } \times \frac{ 3 }{ 5 }+\frac{ 2 }{ 5 }$

Multiply the fractions

$\frac{ 2637 }{ 500 }+\frac{ 2 }{ 5 }$

Add the fractions

$\begin{align*}&\frac{ 2837 }{ 500 } \\&\begin{array} { l }5 \frac{ 337 }{ 500 },& 5.674\end{array}\end{align*}$