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\(\frac{\frac{5}{22}+\frac{3}{13}-\frac{11}{22}}{\frac{4}{13}-\frac{4}{22}+\frac{33}{22}}=\frac{\left(\frac{5}{22}-\frac{11}{12}\right)+\frac{3}{13}}{\frac{4}{13}-\left(\frac{4}{22}-\frac{33}{22}\right)}=\frac{\frac{-6}{22}+\frac{3}{13}}{\frac{4}{13}+\frac{29}{22}}=\frac{\frac{-6}{143}}{\frac{465}{286}}=\frac{-4}{155}\)
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\(\frac{\left(\frac{5}{22}+\frac{3}{13}-\frac{1}{2}\right)\cdot22\cdot13\cdot11}{\left(\frac{\text{4}}{13}-\frac{2}{11}+\frac{3}{2}\right)\cdot22\cdot13\cdot11}=\frac{715+726-1573}{968-572+4719}=\frac{-132}{5115}=\frac{-4}{155}\)
\(\frac{\frac{5}{22}+\frac{3}{13}-\frac{1}{2}}{\frac{4}{13}-\frac{2}{11}+\frac{3}{2}}=\frac{2.11.13\left(\frac{5}{22}+\frac{3}{13}-\frac{1}{2}\right)}{2.11.13\left(\frac{4}{13}-\frac{2}{11}+\frac{3}{2}\right)}=\frac{65+66-143}{88-52+429}=\frac{-12}{465}=\frac{-4}{155}\)
Speed Ninja\(A=\frac{\frac{5}{22}+\frac{3}{13}-\frac{1}{2}}{\frac{4}{13}-\frac{2}{11}+\frac{3}{2}}\)
A=\(\left(\frac{\frac{5}{22}+\frac{3}{13}-\frac{1}{2}}{\frac{4}{13}-\frac{2}{11}+\frac{3}{2}}\right)\)x\(\frac{\left(2.11.13\right)}{\left(2.11.13\right)}\)
A=\(\frac{65+66-143}{88-52+429}\)
A=\(\frac{-12}{465}=\frac{-4}{155}\)