Calculate: ((1)/(3)+(2)/(6))/(5)/(6)

Expression: $\left( \frac{ 1 }{ 3 }+\frac{ 2 }{ 6 } \right)\div\frac{ 5 }{ 6 }$

Add the fractions

$\frac{ 2 }{ 3 }\div\frac{ 5 }{ 6 }$

To divide by a fraction, multiply by the reciprocal of that fraction

$\frac{ 2 }{ 3 } \times \frac{ 6 }{ 5 }$

Cancel out the greatest common factor $3$

$2 \times \frac{ 2 }{ 5 }$

Calculate the product

$\begin{align*}&\frac{ 4 }{ 5 } \\&0.8\end{align*}$