$$(-121/169) \times (13/-11)=(13/11) \times (-121/169)$$
$\text{false}$
$$-\frac{121}{169}\times \frac{13}{-11}=\frac{13}{11}\times \frac{-121}{169}$$
$$-\frac{121}{169}\left(-\frac{13}{11}\right)=\frac{13}{11}\times \frac{-121}{169}$$
$$\frac{-121\left(-13\right)}{169\times 11}=\frac{13}{11}\times \frac{-121}{169}$$
$$\frac{1573}{1859}=\frac{13}{11}\times \frac{-121}{169}$$
$$\frac{11}{13}=\frac{13}{11}\times \frac{-121}{169}$$
$$\frac{11}{13}=\frac{13}{11}\left(-\frac{121}{169}\right)$$
$$\frac{11}{13}=\frac{13\left(-121\right)}{11\times 169}$$
$$\frac{11}{13}=\frac{-1573}{1859}$$
$$\frac{11}{13}=-\frac{11}{13}$$
$$\text{false}$$
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