If (3/4 - 2/3) + (1/2 + 1/3) is calculated and the answer reduced to simplest terms, what is the denominator of the resulting fraction

We are calculating

$$\left({\frac{{\mathtt{3}}}{{\mathtt{4}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{2}}}{{\mathtt{3}}}}\right){\mathtt{\,\small\textbf+\,}}\left({\frac{{\mathtt{1}}}{{\mathtt{2}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{3}}}}\right)$$

We have to start by making the demoninators the same

$$\left({\frac{{\mathtt{9}}}{{\mathtt{12}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{8}}}{{\mathtt{12}}}}\right){\mathtt{\,\small\textbf+\,}}\left({\frac{{\mathtt{6}}}{{\mathtt{12}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{4}}}{{\mathtt{12}}}}\right)$$ 

$$\left({\frac{{\mathtt{1}}}{{\mathtt{12}}}}\right){\mathtt{\,\small\textbf+\,}}\left({\frac{{\mathtt{10}}}{{\mathtt{12}}}}\right)$$

$${\frac{{\mathtt{11}}}{{\mathtt{12}}}}$$

This answer can't be reduced at all, this is the simplest term. 11 is the numerator and 12 is the demoninator, so the demoninator of the resulting fraction is 12