3. A publicly owned company has made the decision to return to private ownership after a management buyout. ½ of the company has been purchased by private equity company A, ¼ has been purchased by private equity company B and the remaining quarter has been purchased by the companies own employees. Of this quarter owned by employees, ⅔ is owned by the company's upper management. Of the fraction owned by the upper management, ¾ was financed by loans and re-mortgages. What fraction of the company was purchased by the upper management through loans and re-mortgages?