$$2 \frac { 1 } { 2 } \div 1 \frac { 7 } { 8 } \times \frac { 7 } { 12 }$$
$\frac{7}{9}\approx 0.777777778$
$$\frac{\left(2\times 2+1\right)\times 8}{2\left(1\times 8+7\right)}\times \frac{7}{12}$$
$$\frac{4\left(1+2\times 2\right)}{7+8}\times \frac{7}{12}$$
$$\frac{4\left(1+4\right)}{7+8}\times \frac{7}{12}$$
$$\frac{4\times 5}{7+8}\times \frac{7}{12}$$
$$\frac{20}{7+8}\times \frac{7}{12}$$
$$\frac{20}{15}\times \frac{7}{12}$$
$$\frac{4}{3}\times \frac{7}{12}$$
$$\frac{4\times 7}{3\times 12}$$
$$\frac{28}{36}$$
$$\frac{7}{9}$$
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$\frac{7}{3 ^ {2}} = 0.7777777777777778$
