Chapter 2.4, Problem 17P

Malcolm says that

   $\frac{8}{11}>\frac{7}{10}$

because

   $8>7$ and $11>10$

Discuss Malcolm’s reasoning. Even though it is true that $\frac{8}{11}>\frac{7}{10}$ , is Malcolm’s reasoning correct? If Malcolm’s reasoning is correct, clearly explain why. If Malcom’s reasoning is not correct, give Malcolm two examples that show why not.