# Chapter 2 - Real Numbers - 2.1 - Rational Numbers: Multiplication and Division - Problem Set 2.1 - Page 48: 50

$\frac{6}{13}$

#### Work Step by Step

First, we multiply the numerators by each other and the denominators by each other: $-\frac{10a}{15b}\times-\frac{45b}{65a}=\frac{10a\times45b}{15b\times65a}=\frac{450ab}{975ab}$ Next, we simplify the resulting expression to obtain the answer: $\frac{450ab}{975ab}=\frac{450}{975}=\frac{150}{325}=\frac{30}{65}=\frac{6}{13}$

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