$$(\frac{3}{2}-\frac{3}{20}-\frac{23}{12}+\frac{7}{5})$$
$\frac{5}{6}\approx 0.833333333$
$$\frac{30}{20}-\frac{3}{20}-\frac{23}{12}+\frac{7}{5}$$
$$\frac{30-3}{20}-\frac{23}{12}+\frac{7}{5}$$
$$\frac{27}{20}-\frac{23}{12}+\frac{7}{5}$$
$$\frac{81}{60}-\frac{115}{60}+\frac{7}{5}$$
$$\frac{81-115}{60}+\frac{7}{5}$$
$$\frac{-34}{60}+\frac{7}{5}$$
$$-\frac{17}{30}+\frac{7}{5}$$
$$-\frac{17}{30}+\frac{42}{30}$$
$$\frac{-17+42}{30}$$
$$\frac{25}{30}$$
$$\frac{5}{6}$$
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$\frac{5}{2 \cdot 3} = 0.8333333333333334$
