$$(\frac{1}{4}+\frac{1}{3})\div0.5\times0.9$$
$1.05$
$$\frac{\frac{3}{12}+\frac{4}{12}}{0.5}\times 0.9$$
$$\frac{\frac{3+4}{12}}{0.5}\times 0.9$$
$$\frac{\frac{7}{12}}{0.5}\times 0.9$$
$$\frac{7}{12\times 0.5}\times 0.9$$
$$\frac{7}{6}\times 0.9$$
$$\frac{7}{6}\times \frac{9}{10}$$
$$\frac{7\times 9}{6\times 10}$$
$$\frac{63}{60}$$
$$\frac{21}{20}$$
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$\frac{3 \cdot 7}{5 \cdot 2 ^ {2}} = 1\frac{1}{20} = 1.05$