# Chapter 1 - Section 1.2 - Fractions in Algebra - Exercise Set - Page 29: 84

$\frac{1}{2}$

#### Work Step by Step

$\frac{17}{18} - \frac{4}{9}$ the least common denominator for the denominators 18 and 9 is 18. To obtain denominators of 18, multiply the numerator and denominator of the second fraction by 2 $\frac{17}{18} - \frac{4}{9}$ = $\frac{17}{18} - \frac{4*2}{9*2}$ $\frac{17}{18} - \frac{8}{18}$ Calculate difference of the numerators and put this difference over the least common denominator. $\frac{17-8}{18}$ = $\frac{9}{18}$ Since 9 is the greatest common factor of 9 and 18, divide numerator and denominator by 9 So, $\frac{9*1}{2*9}$ = $\frac{1}{2}$

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