$$\frac{3}{7}+(\frac{-6}{11})+(\frac{-8}{21})$$
$-\frac{115}{231}\approx -0.497835498$
$$\frac{3}{7}-\frac{6}{11}+\frac{-8}{21}$$
$$\frac{33}{77}-\frac{42}{77}+\frac{-8}{21}$$
$$\frac{33-42}{77}+\frac{-8}{21}$$
$$-\frac{9}{77}+\frac{-8}{21}$$
$$-\frac{9}{77}-\frac{8}{21}$$
$$-\frac{27}{231}-\frac{88}{231}$$
$$\frac{-27-88}{231}$$
$$-\frac{115}{231}$$
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$-\frac{115}{231} = -0.49783549783549785$