In an office, $$\frac{5}{8}$$ of the total number of employees are males and the rest are females. $$\frac{2}{5}$$ of the number of males are non technical workers while $$\frac{2}{3}$$ of the number of females are technical workers, What fraction of the total number of employees are technical workers?

Let the total number of employees be 8.

Total number of males employee = 8 $$\times \frac{5}{8}$$ = 5

Total number of females employee = 8 - 5 = 3

Non technical males workers = 5 $$\times \frac{2}{5}$$ = 2

Technical males workers = 5 - 2 = 3

Technical females workers = 3 $$\times \frac{2}{3}$$ = 2

total number of technical worker = 3 + 2 = 5

Fraction of the total number of technical workers = $$\frac{total number of technical workers}{total number of employee} = \frac{5}{8}$$