# Chapter R - Review of Basic Concepts - Chapter R Test Prep - Review Exercises - Page 83: 45

$\color{blue}{-\dfrac{37}{18}}$

#### Work Step by Step

Make the fractions similar by using their LCD of $18$ to obtain: $=\left(-\dfrac{5(2)}{9(2)}-\dfrac{2(6)}{3(6)}\right)-\dfrac{5(3)}{6(3)} \\=\left(-\dfrac{10}{18}-\dfrac{12}{18}\right)-\dfrac{15}{18}$ Simplify using the PEMDAS rule for order of operations. The PEMDAS rule summarizes the order of operations: First Priority; P - parentheses Second Priority: E - exponents Third Priorirty: M/D - multiplication or division, whichever comes first from the left Fourth Priority: A/S - addition or subtraction, whichever comes first from the left Simplify within grouping symbols first:: $=\dfrac{-10-12}{18}-\dfrac{15}{18} \\=\dfrac{-22}{18} - \dfrac{15}{18}$ Subtract to obtain: $=\dfrac{-22-15}{18} \\=\color{blue}{-\dfrac{37}{18}}$

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