Simplify within brackets

First, calculate the sum in the first bracket: $2/3 + 1/6 = (4+1)/6 = 5/6$. In the second bracket: $1/4 + 0.25 = 1/4 + 1/4 = 2/4 = 1/2$.

$\left(\frac{2}{3} + \frac{1}{6}\right) = \frac{5}{6}, \quad \left(\frac{1}{4} + 0.25\right) = \frac{1}{2}$

Perform Division

Divide the results of the brackets: $(5/6) \div (1/2) = 5/6 \times 2/1 = 5/3$.

$\frac{5}{6} \div \frac{1}{2} = \frac{5}{3}$

Perform Multiplication

Multiply the quotient by $0.2$, which is $1/5$: $(5/3) \times (1/5) = 1/3$.

$\frac{5}{3} \times \frac{1}{5} = \frac{1}{3}$

Final Addition and Subtraction

Solve the remaining part: $1/3 + 1/4 - 1/8$. Find the common denominator, which is $24$: $(8/24) + (6/24) - (3/24) = 11/24$. Wait, let's recheck the expression: $1/3 + 1/4 - 1/8 = (8+6-3)/24 = 11/24$. Re-evaluating the input question steps for $0.625$. Actually, $0.625 = 5/8$. Recalculating: $1/3 + 1/4 - 1/8$. If the expression is $1/3 + (1/4 - 1/8) = 1/3 + 1/8 = 11/24$. Let's re-verify $0.2$ vs others.

$\frac{1}{3} + \frac{1}{4} - \frac{1}{8} = \frac{8 + 6 - 3}{24} = \frac{11}{24}$