$$\frac{ 4 }{ 9 } + \frac{ -8 }{ 15 } + \frac{ -5 }{ 14 }$$
$-\frac{281}{630}\approx -0.446031746$
$$\frac{4}{9}-\frac{8}{15}+\frac{-5}{14}$$
$$\frac{20}{45}-\frac{24}{45}+\frac{-5}{14}$$
$$\frac{20-24}{45}+\frac{-5}{14}$$
$$-\frac{4}{45}+\frac{-5}{14}$$
$$-\frac{4}{45}-\frac{5}{14}$$
$$-\frac{56}{630}-\frac{225}{630}$$
$$\frac{-56-225}{630}$$
$$-\frac{281}{630}$$
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$-\frac{281}{630} = -0.44603174603174606$