$$3 \frac { 5 } { 11 } 4 \frac { 1 } { 8 } \div 4 \frac { 3 } { 4 } - ( \frac { 1 } { 2 } - \frac { 1 } { 4 } )$$
$\frac{11}{4}=2.75$
$$\frac{\frac{33+5}{11}\times \frac{4\times 8+1}{8}}{\frac{4\times 4+3}{4}}-\left(\frac{1}{2}-\frac{1}{4}\right)$$
$$\frac{\frac{38}{11}\times \frac{4\times 8+1}{8}}{\frac{4\times 4+3}{4}}-\left(\frac{1}{2}-\frac{1}{4}\right)$$
$$\frac{\frac{38}{11}\times \frac{32+1}{8}}{\frac{4\times 4+3}{4}}-\left(\frac{1}{2}-\frac{1}{4}\right)$$
$$\frac{\frac{38}{11}\times \frac{33}{8}}{\frac{4\times 4+3}{4}}-\left(\frac{1}{2}-\frac{1}{4}\right)$$
$$\frac{\frac{38\times 33}{11\times 8}}{\frac{4\times 4+3}{4}}-\left(\frac{1}{2}-\frac{1}{4}\right)$$
$$\frac{\frac{1254}{88}}{\frac{4\times 4+3}{4}}-\left(\frac{1}{2}-\frac{1}{4}\right)$$
$$\frac{\frac{57}{4}}{\frac{4\times 4+3}{4}}-\left(\frac{1}{2}-\frac{1}{4}\right)$$
$$\frac{\frac{57}{4}}{\frac{16+3}{4}}-\left(\frac{1}{2}-\frac{1}{4}\right)$$
$$\frac{\frac{57}{4}}{\frac{19}{4}}-\left(\frac{1}{2}-\frac{1}{4}\right)$$
$$\frac{57}{4}\times \frac{4}{19}-\left(\frac{1}{2}-\frac{1}{4}\right)$$
$$\frac{57\times 4}{4\times 19}-\left(\frac{1}{2}-\frac{1}{4}\right)$$
$$\frac{57}{19}-\left(\frac{1}{2}-\frac{1}{4}\right)$$
$$3-\left(\frac{1}{2}-\frac{1}{4}\right)$$
$$3-\left(\frac{2}{4}-\frac{1}{4}\right)$$
$$3-\frac{2-1}{4}$$
$$3-\frac{1}{4}$$
$$\frac{12}{4}-\frac{1}{4}$$
$$\frac{12-1}{4}$$
$$\frac{11}{4}$$
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$\frac{11}{2 ^ {2}} = 2\frac{3}{4} = 2.75$
