2. Simplify the following: a. \( 2\left(\frac{1}{2}+3\right) \) b. \( 1,5 \times 3+1,5 \times 4 \)

To simplify \( 2\left(\frac{1}{2}+3\right) \), start by adding the fraction and the whole number inside the parentheses: \( \frac{1}{2} + 3 = \frac{1}{2} + \frac{6}{2} = \frac{7}{2} \). Next, multiply this result by 2: \( 2 \times \frac{7}{2} = 7 \). For \( 1.5 \times 3 + 1.5 \times 4 \), you can use the distributive property. Factor out 1.5, giving you \( 1.5(3 + 4) \). Now, add the numbers inside the parentheses: \( 3 + 4 = 7 \). So, multiply: \( 1.5 \times 7 = 10.5 \).