$$( \frac{ -15 }{ 18 } ) \% \frac{ 40 }{ 27 } =$$
$-\frac{1}{81}\approx -0.012345679$
$$\frac{-15}{18\times 100}\times \frac{40}{27}$$
$$\frac{-15}{1800}\times \frac{40}{27}$$
$$-\frac{1}{120}\times \frac{40}{27}$$
$$\frac{-40}{120\times 27}$$
$$\frac{-40}{3240}$$
$$-\frac{1}{81}$$
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$-\frac{1}{81} = -0.012345679012345678$
