What is (1 3/4 + 2 1/3)+4 2/3
\(\begin{array}{rcl} \left(1 \frac34 + 2 \frac13 \right)+4 \frac23 \\ &=& 1 \frac34 + 2 \frac13+4 \frac23 \\ &=& 1 + \frac34 + 2 + \frac13+4 + \frac23 \\ &=& 1 + 2 + 4 + \frac34 + \frac13 + \frac23 \qquad | \qquad \frac13 + \frac23 = \frac33 = 1 \\ &=& 1+2+4 + \frac34 + 1\\ &=& 1+2+4+1+ \frac34 \\ &=& 8 + \frac34 \\ &=& 8 \frac34 \\ &=& 8.75 \end{array} \)