Решение:

\( (17 \frac{1}{10} - 15 \frac{1}{20}) : 4 \frac{1}{5} = (17 \frac{2}{20} - 15 \frac{1}{20}) : 4 \frac{1}{5} = 2 \frac{1}{20} : 4 \frac{1}{5} = \frac{41}{20} : \frac{21}{5} = \frac{41}{20} \cdot \frac{5}{21} = \frac{41}{4 \cdot 21} = \frac{41}{84} \)
\( (5 \frac{3}{13} - 3 \frac{1}{26}) : 6 \frac{1}{2} = (5 \frac{6}{26} - 3 \frac{1}{26}) : 6 \frac{1}{2} = 2 \frac{5}{26} : 6 \frac{1}{2} = \frac{57}{26} : \frac{13}{2} = \frac{57}{26} \cdot \frac{2}{13} = \frac{57}{13 \cdot 13} = \frac{57}{169} \)
\( (10 \frac{15}{26} - 5 \frac{3}{13}) : 1 \frac{1}{5} = (10 \frac{15}{26} - 5 \frac{6}{26}) : 1 \frac{1}{5} = 5 \frac{9}{26} : 1 \frac{1}{5} = \frac{141}{26} : \frac{6}{5} = \frac{141}{26} \cdot \frac{5}{6} = \frac{141 \cdot 5}{26 \cdot 6} = \frac{47 \cdot 5}{26 \cdot 2} = \frac{235}{52} \)
\( (11 \frac{11}{17} - 9 \frac{1}{5}) : 6 \frac{4}{5} = (11 \frac{55}{85} - 9 \frac{17}{85}) : 6 \frac{4}{5} = 2 \frac{38}{85} : 6 \frac{4}{5} = \frac{208}{85} : \frac{34}{5} = \frac{208}{85} \cdot \frac{5}{34} = \frac{208}{17 \cdot 34} = \frac{104}{17 \cdot 17} = \frac{104}{289} \)
\( (10 \frac{15}{26} - 5 \frac{3}{13}) : 1 \frac{1}{5} = (10 \frac{15}{26} - 5 \frac{6}{26}) : 1 \frac{1}{5} = 5 \frac{9}{26} : 1 \frac{1}{5} = \frac{141}{26} : \frac{6}{5} = \frac{141}{26} \cdot \frac{5}{6} = \frac{47 \cdot 5}{26 \cdot 2} = \frac{235}{52} \)
\( (12 \frac{20}{25} - 6 \frac{1}{20}) : 9 \frac{1}{4} = (12 \frac{80}{100} - 6 \frac{5}{100}) : 9 \frac{1}{4} = 6 \frac{75}{100} : 9 \frac{1}{4} = 6 \frac{3}{4} : 9 \frac{1}{4} = \frac{27}{4} : \frac{37}{4} = \frac{27}{4} \cdot \frac{4}{37} = \frac{27}{37} \)
\( 7 \frac{3}{4} : 3 \frac{1}{2} = \frac{31}{4} : \frac{7}{2} = \frac{31}{4} \cdot \frac{2}{7} = \frac{31}{2 \cdot 7} = \frac{31}{14} \)
\( 8 \frac{2}{13} - 4 \frac{5}{2} = 8 \frac{2}{13} - 4 \frac{65}{26} = 8 \frac{4}{26} - 4 \frac{65}{26} \) (Невозможно решить без уточнения)
\( (1 \frac{3}{20}) : 10 = \frac{23}{20} : 10 = \frac{23}{200} \)
\( \frac{2}{7} : (3 \frac{17}{36}) = \frac{2}{7} : \frac{125}{36} = \frac{2}{7} \cdot \frac{36}{125} = \frac{72}{875} \)
\( 6 \frac{2}{21} - 5 \frac{31}{33} = \frac{130}{21} - \frac{196}{33} = \frac{130 \cdot 11}{231} - \frac{196 \cdot 7}{231} = \frac{1430 - 1372}{231} = \frac{58}{231} \)

Ответ: 1) 41/84; 2) 57/169; 3) 235/52; 4) 104/289; 5) 235/52; 6) 27/37; 7) 31/14; 9) 23/200; 10) 72/875; 11) 58/231.

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