$$6 \frac { 1 } { 4 } / 6 \frac { 1 } { 2 }$$
$\frac{25}{26}\approx 0.961538462$
$$\frac{\left(6\times 4+1\right)\times 2}{4\left(6\times 2+1\right)}$$
$$\frac{1+4\times 6}{2\left(1+2\times 6\right)}$$
$$\frac{1+24}{2\left(1+2\times 6\right)}$$
$$\frac{25}{2\left(1+2\times 6\right)}$$
$$\frac{25}{2\left(1+12\right)}$$
$$\frac{25}{2\times 13}$$
$$\frac{25}{26}$$
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$\frac{5 ^ {2}}{2 \cdot 13} = 0.9615384615384616$
