$$3\frac{4}{6}-3\frac{8}{7}$$
$-\frac{10}{21}\approx -0.476190476$
$$\frac{18+4}{6}-\frac{3\times 7+8}{7}$$
$$\frac{22}{6}-\frac{3\times 7+8}{7}$$
$$\frac{11}{3}-\frac{3\times 7+8}{7}$$
$$\frac{11}{3}-\frac{21+8}{7}$$
$$\frac{11}{3}-\frac{29}{7}$$
$$\frac{77}{21}-\frac{87}{21}$$
$$\frac{77-87}{21}$$
$$-\frac{10}{21}$$
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$-\frac{10}{21} = -0.47619047619047616$