# Chapter 5 - Number Theory and the Real Number System - 5.3 The Rational Numbers - Exercise Set 5.3: 83

$\dfrac{1}{2}$

#### Work Step by Step

The fractions are not similar since they have different fractions. Make the fractions similar using their LCD of $18$. $\dfrac{13}{18} - \dfrac{2}{9} \\=\dfrac{13}{18}-\dfrac{2\color{blue}{(2)}}{9\color{blue}{(2)}} \\=\dfrac{13}{18}-\dfrac{4}{18}$ Now that the fractions are similar, subtract the numerators and copy the denominator to obtain: $=\dfrac{13-4}{18} \\=\dfrac{9}{18} \\=\dfrac{1}{2}$

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