# Chapter 6 - Rational Expressions and Equations - 6.2 Multiplication and Division - 6.2 Exercise Set - Page 385: 74

$$=\frac{2}{5}$$

#### Work Step by Step

Recall, one never divides by a fraction. Rather, if we want to divide by a fraction, we multiply by the reciprocal of the fraction. Recall, the reciprocal of a fraction is that fraction with the numerator and the denominator switched. Thus, we find: $$\frac{\left(-4+2x\right)}{15}\times \frac{3}{\left(x-2\right)}\\ \frac{2\left(-2+x\right)}{5\left(x-2\right)}\\ =\frac{2}{5}$$

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