$$\{ ( \frac{ 1 }{ 2 } - \frac{ 1 }{ 3 } )+(1 \frac{ 2 }{ 3 } + \frac{ 1 }{ 9 } ) \} - \{ ( \frac{ 5 }{ 3 } - \frac{ 1 }{ 6 } )+ \frac{ 9 }{ 6 } \}$$
$-\frac{19}{18}\approx -1.055555556$
$$\frac{3}{6}-\frac{2}{6}+\frac{1\times 3+2}{3}+\frac{1}{9}-\left(\frac{5}{3}-\frac{1}{6}+\frac{9}{6}\right)$$
$$\frac{3-2}{6}+\frac{1\times 3+2}{3}+\frac{1}{9}-\left(\frac{5}{3}-\frac{1}{6}+\frac{9}{6}\right)$$
$$\frac{1}{6}+\frac{1\times 3+2}{3}+\frac{1}{9}-\left(\frac{5}{3}-\frac{1}{6}+\frac{9}{6}\right)$$
$$\frac{1}{6}+\frac{3+2}{3}+\frac{1}{9}-\left(\frac{5}{3}-\frac{1}{6}+\frac{9}{6}\right)$$
$$\frac{1}{6}+\frac{5}{3}+\frac{1}{9}-\left(\frac{5}{3}-\frac{1}{6}+\frac{9}{6}\right)$$
$$\frac{1}{6}+\frac{10}{6}+\frac{1}{9}-\left(\frac{5}{3}-\frac{1}{6}+\frac{9}{6}\right)$$
$$\frac{1+10}{6}+\frac{1}{9}-\left(\frac{5}{3}-\frac{1}{6}+\frac{9}{6}\right)$$
$$\frac{11}{6}+\frac{1}{9}-\left(\frac{5}{3}-\frac{1}{6}+\frac{9}{6}\right)$$
$$\frac{33}{18}+\frac{2}{18}-\left(\frac{5}{3}-\frac{1}{6}+\frac{9}{6}\right)$$
$$\frac{33+2}{18}-\left(\frac{5}{3}-\frac{1}{6}+\frac{9}{6}\right)$$
$$\frac{35}{18}-\left(\frac{5}{3}-\frac{1}{6}+\frac{9}{6}\right)$$
$$\frac{35}{18}-\left(\frac{10}{6}-\frac{1}{6}+\frac{9}{6}\right)$$
$$\frac{35}{18}-\left(\frac{10-1}{6}+\frac{9}{6}\right)$$
$$\frac{35}{18}-\left(\frac{9}{6}+\frac{9}{6}\right)$$
$$\frac{35}{18}-\left(\frac{3}{2}+\frac{9}{6}\right)$$
$$\frac{35}{18}-\left(\frac{3}{2}+\frac{3}{2}\right)$$
$$\frac{35}{18}-\frac{3+3}{2}$$
$$\frac{35}{18}-\frac{6}{2}$$
$$\frac{35}{18}-3$$
$$\frac{35}{18}-\frac{54}{18}$$
$$\frac{35-54}{18}$$
$$-\frac{19}{18}$$
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$-\frac{19}{18} = -1\frac{1}{18} = -1.0555555555555556$
