$$- \frac{ 2 }{ 5 } -[- \frac{ 3 }{ 10 } -(- \frac{ 4 }{ 15 } )]$$
$-\frac{11}{30}\approx -0.366666667$
$$-\frac{2}{5}-\left(-\frac{3}{10}+\frac{4}{15}\right)$$
$$-\frac{2}{5}-\left(-\frac{9}{30}+\frac{8}{30}\right)$$
$$-\frac{2}{5}-\frac{-9+8}{30}$$
$$-\frac{2}{5}-\left(-\frac{1}{30}\right)$$
$$-\frac{2}{5}+\frac{1}{30}$$
$$-\frac{12}{30}+\frac{1}{30}$$
$$\frac{-12+1}{30}$$
$$-\frac{11}{30}$$
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$-\frac{11}{30} = -0.36666666666666664$
