Add : `5x^2-1/3x+5/2,-1/2x^2+1/2x-1/3a n d-2x^2+1/5x-1/6dot`

Explanation

To solve the problem of adding the algebraic expressions \(5x^2 - \frac{1}{3}x + \frac{5}{2}\), \(-\frac{1}{2}x^2 + \frac{1}{2}x - \frac{1}{3}\), and \(-2x^2 + \frac{1}{5}x - \frac{1}{6}\), we will follow these steps:

### Step 1: Group Like Terms
We will group the terms based on their types: \(x^2\) terms, \(x\) terms, and constant terms.

- **\(x^2\) terms**: \(5x^2\), \(-\frac{1}{2}x^2\), \(-2x^2\)
- **\(x\) terms**: \(-\frac{1}{3}x\), \(\frac{1}{2}x\), \(\frac{1}{5}x\)
- **Constant terms**: \(\frac{5}{2}\), \(-\frac{1}{3}\), \(-\frac{1}{6}\)
...