Answer
$\frac{1}{2}$
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, $\frac{9*1}{2*9}$ = $\frac{1}{2}$
