$$( { \left(1/2 \right) }^{ 2 } +3/2) \times 2/3- { \left(1/2-1/4 \right) }^{ 2 }$$
$\frac{53}{48}\approx 1.104166667$
$$\frac{\left(\frac{1}{4}+\frac{3}{2}\right)\times 2}{3}-\left(\frac{1}{2}-\frac{1}{4}\right)^{2}$$
$$\frac{\frac{7}{4}\times 2}{3}-\left(\frac{1}{2}-\frac{1}{4}\right)^{2}$$
$$\frac{\frac{7}{2}}{3}-\left(\frac{1}{2}-\frac{1}{4}\right)^{2}$$
$$\frac{7}{2\times 3}-\left(\frac{1}{2}-\frac{1}{4}\right)^{2}$$
$$\frac{7}{6}-\left(\frac{1}{2}-\frac{1}{4}\right)^{2}$$
$$\frac{7}{6}-\left(\frac{1}{4}\right)^{2}$$
$$\frac{7}{6}-\frac{1}{16}$$
$$\frac{53}{48}$$
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$\frac{53}{2 ^ {4} \cdot 3} = 1\frac{5}{48} = 1.1041666666666667$