Find the value of $$\frac{2}{3} - \left(-\frac{1}{3}\right) + \left(-2\frac{2}{9}\right)$$​​

Correct option is B

We are given the expression:

23−(−13)+(−229)\frac{2}{3} - \left(-\frac{1}{3}\right) + \left(-2\frac{2}{9}\right)32​−(−31​)+(−292​)​

Step 1: Simplify the terms

• First term: $$\frac{2}{3}$$​​

• Second term: 

  ​$$-(-\frac{1}{3}) = +\frac{1}{3}$$​​
  

• Third term: −229=−(2+29)=−209-2\frac{2}{9} = -\left(2 + \frac{2}{9}\right) = -\frac{20}{9}−292​=−(2+92​)=−920​​

Step 2: Add the first two terms

23+13=33=1\frac{2}{3} + \frac{1}{3} = \frac{3}{3} = 132​+31​=33​=1​

Step 3: Now subtract the third term

$$- \frac{20}{9} = \frac{9}{9} - \frac{20}{9} = \frac{-11}{9}$$​