We need to evaluate the expression $1\frac{3}{10} + \frac{1}{2} \times (-\frac{3}{5})$.

1. Problem Description

We need to evaluate the expression $1\frac{3}{10} + \frac{1}{2} \times (-\frac{3}{5})$.

2. Solution Steps

First, we convert the mixed number to an improper fraction:

$1\frac{3}{10} = \frac{1 \times 10 + 3}{10} = \frac{10+3}{10} = \frac{13}{10}$.

Next, we perform the multiplication:

$\frac{1}{2} \times (-\frac{3}{5}) = -\frac{1 \times 3}{2 \times 5} = -\frac{3}{10}$.

Now we can rewrite the original expression:

$\frac{13}{10} + (-\frac{3}{10}) = \frac{13}{10} - \frac{3}{10}$.

Subtracting the fractions:

$\frac{13}{10} - \frac{3}{10} = \frac{13-3}{10} = \frac{10}{10} = 1$.

3. Final Answer

The final answer is 1.