$$34\frac{1}{4}-2\frac{1}{5}$$
$\frac{641}{20}=32.05$
$$\frac{136+1}{4}-\frac{2\times 5+1}{5}$$
$$\frac{137}{4}-\frac{2\times 5+1}{5}$$
$$\frac{137}{4}-\frac{10+1}{5}$$
$$\frac{137}{4}-\frac{11}{5}$$
$$\frac{685}{20}-\frac{44}{20}$$
$$\frac{685-44}{20}$$
$$\frac{641}{20}$$
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$\frac{641}{2 ^ {2} \cdot 5} = 32\frac{1}{20} = 32.05$