$\frac{4}{6}+\frac{3}{2}$

Step 1 ：Given the problem \(\frac{4}{6}+\frac{3}{2}\), we need to add two fractions. The first step is to find a common denominator.

Step 2 ：The common denominator of 6 and 2 is 6. So we can convert \(\frac{3}{2}\) to \(\frac{9}{6}\).

Step 3 ：Then we can add the two fractions together to get \(\frac{13.0}{6.0}\), which can be simplified to \(\frac{13}{6}\).

Step 4 ：However, this is an improper fraction and can be further simplified to a mixed number.

Step 5 ：Finally, the answer to the original input question is \(\boxed{2\frac{1}{6}}\).