$$6 \frac { 4 } { 12 } - 3 \frac { 3 } { 6 } =$$
$\frac{17}{6}\approx 2.833333333$
$$\frac{72+4}{12}-\frac{3\times 6+3}{6}$$
$$\frac{76}{12}-\frac{3\times 6+3}{6}$$
$$\frac{19}{3}-\frac{3\times 6+3}{6}$$
$$\frac{19}{3}-\frac{18+3}{6}$$
$$\frac{19}{3}-\frac{21}{6}$$
$$\frac{19}{3}-\frac{7}{2}$$
$$\frac{38}{6}-\frac{21}{6}$$
$$\frac{38-21}{6}$$
$$\frac{17}{6}$$
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$\frac{17}{2 \cdot 3} = 2\frac{5}{6} = 2.8333333333333335$