Evaluate 1(3)/(5) + (1)/(4) \ ( -(2)/(3) )3 of 1(1)/(2) \ + 2(1)/(4)

Here are the solutions to the problems:

1. Evaluate $1\frac{3}{5} + \frac{1}{4} \left\{ \left( -\frac{2}{3} \right)^3 \text{ of } 1\frac{1}{2} \right\} + 2\frac{1}{4}$

Step 1: Convert mixed numbers to improper fractions.
$1\frac{3}{5} = \frac{1 \times 5 + 3}{5} = \frac{8}{5}$
$1\frac{1}{2} = \frac{1 \times 2 + 1}{2} = \frac{3}{2}$
$2\frac{1}{4}