Answer
-$\frac{5}{6}$
Work Step by Step
$\frac{3}{4}$n - $\frac{1}{3}$n + $\frac{5}{6}$n =
We must convert the denominators of each fraction to 12.
$\frac{3}{4}$n $\times$ $\frac{3}{3}$ - $\frac{1}{3}$n $\times$ $\frac{4}{4}$+ $\frac{5}{6}$n $\times$ $\frac{2}{2}$=
$\frac{9}{12}$n - $\frac{4}{12}$n + $\frac{10}{12}$n =
$\frac{15}{12}$n
We then substitute n = -$\frac{2}{3}$ into the expression.
$\frac{15}{12}$ $\times$ -$\frac{2}{3}$ =
-$\frac{30}{36}$ =
-$\frac{5}{6}$
