(3/10+1/2)*3/2=

To solve \((\frac{3}{10} + \frac{1}{2}) \times \frac{3}{2}\), let's break it down step by step.

1. Find a common denominator for the fractions in the parentheses. The common denominator for 10 and 2 is 10.

   So, convert \(\frac{1}{2}\) to a fraction with a denominator of 10:

   \[ \frac{1}{2} = \frac{5}{10} \]

2. Now add the fractions:

   \[ \frac{3}{10} + \frac{5}{10} = \frac{8}{10} \]

3. Simplify \(\frac{8}{10}\):

   \[ \frac{8}{10} = \frac{4}{5} \]

4. Now multiply by \(\frac{3}{2}\):

   \[ \frac{4}{5} \times \frac{3}{2} = \frac{4 \times 3}{5 \times 2} = \frac{12}{10} \]

5. Simplify \(\frac{12}{10}\):

   \[ \frac{12}{10} = \frac{6}{5} \]

So, the final answer is:

\[ \frac{6}{5} \]

or in decimal form, \(1.2\).