The number of managers in the given number of employees is 107.
Given;
fraction of skilled workers, = ⁴/₉
unskilled workers = ¹/₁₀
supervisors = ²/₇
total number of employees = 630
let the fraction of the manager = x
To find:
the number of managers
First determine the fraction of the managers;
[tex]x + \frac{4}{9} + \frac{1}{10} + \frac{2}{7} = 1\\\\x + \frac{280 + 63 + 180}{630} = 1\\\\x + \frac{523}{630} = 1\\\\x = 1 - \frac{523}{630} \\\\x = \frac{107}{630}[/tex]
Finally, the number of managers is calculated as;
[tex]number \ of \ managers = \frac{107}{630} \times 630 = 107[/tex]
Thus, the number of managers in the given number of employees is 107.
To learn more about fractions, please visit: https://brainly.com/question/13595113
