Answer
$\frac{7}{6}$
Work Step by Step
$3\frac{2}{3} - 2\frac{1}{2}$
Convert mixed fractions into improper fractions
$\frac{11}{3} - \frac{5}{2}$
The least common denominator for the denominators 3 and 2 is 6.
To obtain denominators of 6, multiply the numerator and denominator of the first fraction by 2 and second fraction by 3
$\frac{11}{3} - \frac{5}{2}$ = $\frac{11*2}{3*2} - \frac{5*3}{2*3}$
$\frac{22}{6} - \frac{15}{6}$
Calculate difference of the numerators and put this difference over the least common denominator.
$\frac{22-15}{6}$ = $\frac{7}{6}$
