$$\frac { 3 } { 4 } 4 \frac { 1 } { 5 } - \frac { 1 } { 4 } 6 \frac { 2 } { 5 }$$
$\frac{31}{20}=1.55$
$$\frac{3}{4}\times \frac{20+1}{5}-\frac{1}{4}\times \frac{6\times 5+2}{5}$$
$$\frac{3}{4}\times \frac{21}{5}-\frac{1}{4}\times \frac{6\times 5+2}{5}$$
$$\frac{3\times 21}{4\times 5}-\frac{1}{4}\times \frac{6\times 5+2}{5}$$
$$\frac{63}{20}-\frac{1}{4}\times \frac{6\times 5+2}{5}$$
$$\frac{63}{20}-\frac{1}{4}\times \frac{30+2}{5}$$
$$\frac{63}{20}-\frac{1}{4}\times \frac{32}{5}$$
$$\frac{63}{20}-\frac{1\times 32}{4\times 5}$$
$$\frac{63}{20}-\frac{32}{20}$$
$$\frac{63-32}{20}$$
$$\frac{31}{20}$$
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$\frac{31}{2 ^ {2} \cdot 5} = 1\frac{11}{20} = 1.55$