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

To solve the expression \((\frac{3}{10} + \frac{1}{2}) \times \frac{3}{2}\), follow these steps: 1. First, find a common denominator for \(\frac{3}{10}\) and \(\frac{1}{2}\). The least common denominator (LCD) of 10 and 2 is 10. 2. Convert \(\frac{1}{2}\) to have a denominator of 10: \[ \frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10} \] 3. Now, add \(\frac{3}{10}\) and \(\frac{5}{10}\): \[ \frac{3}{10} + \frac{5}{10} = \frac{3 + 5}{10} = \frac{8}{10} \] 4. Simplify \(\frac{8}{10}\) to \(\frac{4}{5}\). 5. Now multiply \(\frac{4}{5}\) by \(\frac{3}{2}\): \[ \frac{4}{5} \times \frac{3}{2} = \frac{4 \times 3}{5 \times 2} = \frac{12}{10} \] 6. Simplify \(\frac{12}{10}\) to \(\frac{6}{5}\). So, the final result is: \[ \frac{6}{5} \]