$$5/2 \times (7/2 \times 11/2)=(5/2 \times 7/5) \times 11/3$$
$\text{false}$
$$\frac{15}{2}\times \frac{7}{2}\times 11=2\times \frac{\frac{5}{2}\times 7}{5}\times 11$$
$$\frac{15\times 7}{2\times 2}\times 11=2\times \frac{\frac{5}{2}\times 7}{5}\times 11$$
$$\frac{105}{4}\times 11=2\times \frac{\frac{5}{2}\times 7}{5}\times 11$$
$$\frac{105\times 11}{4}=2\times \frac{\frac{5}{2}\times 7}{5}\times 11$$
$$\frac{1155}{4}=2\times \frac{\frac{5}{2}\times 7}{5}\times 11$$
$$\frac{1155}{4}=2\times \frac{\frac{5\times 7}{2}}{5}\times 11$$
$$\frac{1155}{4}=2\times \frac{\frac{35}{2}}{5}\times 11$$
$$\frac{1155}{4}=2\times \frac{35}{2\times 5}\times 11$$
$$\frac{1155}{4}=2\times \frac{35}{10}\times 11$$
$$\frac{1155}{4}=2\times \frac{7}{2}\times 11$$
$$\frac{1155}{4}=7\times 11$$
$$\frac{1155}{4}=77$$
$$\frac{1155}{4}=\frac{308}{4}$$
$$\text{false}$$
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