$$\frac { 3 } { 7 } + ( \frac { - 6 } { 11 } ) + ( \frac { - 8 } { 21 } ) + ( \frac { 5 } { 22 } ) - 12$$
$-\frac{5669}{462}\approx -12.270562771$
$$\frac{3}{7}-\frac{6}{11}+\frac{-8}{21}+\frac{5}{22}-12$$
$$\frac{33}{77}-\frac{42}{77}+\frac{-8}{21}+\frac{5}{22}-12$$
$$\frac{33-42}{77}+\frac{-8}{21}+\frac{5}{22}-12$$
$$-\frac{9}{77}+\frac{-8}{21}+\frac{5}{22}-12$$
$$-\frac{9}{77}-\frac{8}{21}+\frac{5}{22}-12$$
$$-\frac{27}{231}-\frac{88}{231}+\frac{5}{22}-12$$
$$\frac{-27-88}{231}+\frac{5}{22}-12$$
$$-\frac{115}{231}+\frac{5}{22}-12$$
$$-\frac{230}{462}+\frac{105}{462}-12$$
$$\frac{-230+105}{462}-12$$
$$-\frac{125}{462}-12$$
$$-\frac{125}{462}-\frac{5544}{462}$$
$$\frac{-125-5544}{462}$$
$$-\frac{5669}{462}$$
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$-\frac{5669}{462} = -12\frac{125}{462} = -12.270562770562771$
