If $\tan A=\frac{1}{2}$ and $\tan B=\frac{1}{3}$, then what is the value of $(A+B)$ ?

• A

  0
• Correct answer
  B

  $\frac{\pi}{4}$
• C

  $\frac{\pi}{2}$
• D

  $\pi$

Hence, the correct answer is option: 'B'.