Evaluate 1 rac35 + rac14 ext of rac12 ext of rac-23 ext of rac-23 ext of rac-23 + 2 rac14

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 all 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}{