Chapter 4 - Section 4.6 - Complex Fractions and Review of Order of Operations - Exercise Set - Page 284: 17

$-\frac{17}{45}$

$(\frac{2}{9}+\frac{4}{9})(\frac{1}{3}-\frac{9}{10})$ $=(\frac{6}{9})(\frac{10}{30}-\frac{27}{30})$ $=(\frac{2}{3})(-\frac{17}{30})$ $=-(\frac{2}{3}\times\frac{17}{30})$ $=-(\frac{1}{3}\times\frac{17}{15})$ $=-\frac{17}{45}$