Answer
$\frac{5}{6}$
Work Step by Step
$\frac{3}{2} - \frac{2}{3}$
The least common denominator for the denominators 2 and 3 is 6.
To obtain denominators of 6, multiply the numerator and denominator of the first fraction by 3 and second fraction by 2
$\frac{3}{2} - \frac{2}{3}$ = $\frac{3*3}{2*3} - \frac{2*2}{3 *2}$
$\frac{9}{6} - \frac{4}{6}$
Calculate difference of the numerators and put this difference over the least common denominator.
$\frac{9-4}{6}$ = $\frac{5}{6}$