(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, \(1.2\).