$$0.4+3+2\frac{1}{4}$$
$5.65$
$$3.4+\frac{2\times 4+1}{4}$$
$$3.4+\frac{8+1}{4}$$
$$3.4+\frac{9}{4}$$
$$\frac{17}{5}+\frac{9}{4}$$
$$\frac{68}{20}+\frac{45}{20}$$
$$\frac{68+45}{20}$$
$$\frac{113}{20}$$
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$\frac{113}{5 \cdot 2 ^ {2}} = 5\frac{13}{20} = 5.65$