# Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.1: 118

9

#### Work Step by Step

Use the order of operations to simplify the expression:$$\frac{6(-4)-5(-3)}{9-10}$$ As the fraction itself defines grouping symbols, the numerator and denominator are each individual groups. Within each group start with exponents, then multiplication and division in order left to right, and finally addition and subtraction left to right:$$=\frac{(-24)+15}{(-1)}$$ $$=\frac{(-9)}{(-1)}$$ $$=9$$ A negative divided by a negative is positive.

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