$$9/16 \times 4/12+9/16 \times -3/9$$
$0$
$$\frac{\frac{9\times 4}{16}}{12}+\frac{\frac{9}{16}\left(-3\right)}{9}$$
$$\frac{\frac{36}{16}}{12}+\frac{\frac{9}{16}\left(-3\right)}{9}$$
$$\frac{\frac{9}{4}}{12}+\frac{\frac{9}{16}\left(-3\right)}{9}$$
$$\frac{9}{4\times 12}+\frac{\frac{9}{16}\left(-3\right)}{9}$$
$$\frac{9}{48}+\frac{\frac{9}{16}\left(-3\right)}{9}$$
$$\frac{3}{16}+\frac{\frac{9}{16}\left(-3\right)}{9}$$
$$\frac{3}{16}+\frac{\frac{9\left(-3\right)}{16}}{9}$$
$$\frac{3}{16}+\frac{\frac{-27}{16}}{9}$$
$$\frac{3}{16}+\frac{-\frac{27}{16}}{9}$$
$$\frac{3}{16}+\frac{-27}{16\times 9}$$
$$\frac{3}{16}+\frac{-27}{144}$$
$$\frac{3}{16}-\frac{3}{16}$$
$$0$$
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