9. Найти значение выражений: а) (-15,64 : 4 2/5 + 7,1) · 2 2/5; б) (0,4 − 11/15) · 1 2/7 − (7/18 − 0,5) : 1 1/6; в) 0,8 · ((2/3)^2 + 5/9); г) (37,12 − 5,6 · 0,14) / (1,21 + 3,4 · 0,35); д) (2,17 · 3,7 − 1,83 · 2,3) : 19,1; е) 5 4/19 · 3 4/7 + 1 15/19 : 7/25 − 1 2/3; ё) ((3 1/3 − 2 2/3) · 2,4) / ((15,5 + 4,5) : 2 1/2) · 5 3/7 − (2 1/2 + 1 1/3) : 1/6; з) (2 7/15 + 1 7/12) · 1 1/9 − 1 7/8; и) (6 1/7 − 5 3/4) : 11/14 + (3 3/4 − 1 5/6) : 1/6.

1. а) \((-15.64 : 4\frac{2}{5}+7.1)\cdot2\frac{2}{5}=(-15.64:\frac{22}{5}+7.1)\cdot\frac{12}{5}=(-3.5545+7.1)\cdot\frac{12}{5}=\frac{389}{55}\).
2. б) \((0.4-\frac{11}{15})\cdot1\frac{2}{7}-(\frac{7}{18}-0.5):1\frac{1}{6}=(-\frac{1}{3})\cdot\frac{9}{7}-(-\frac{1}{9}):\frac{7}{6}=-\frac{3}{7}+\frac{2}{21}=-\frac{1}{3}\).
3. в) \(0.8\cdot((\frac23)^2+\frac59)=\frac45\cdot(\frac49+\frac59)=\frac45\).
4. г) \(\frac{37.12-5.6\cdot0.14}{1.21+3.4\cdot0.35}=\frac{37.12-0.784}{1.21+1.19}=\frac{36.336}{2.4}=15.14\).
5. д) \((2.17\cdot3.7-1.83\cdot2.3):19.1=(8.029-4.209):19.1=3.82:19.1=0.2\).
6. е) \(5\frac4{19}\cdot3\frac47+1\frac{15}{19}:\frac7{25}-1\frac23=\frac{99}{19}\cdot\frac{25}{7}+\frac{34}{19}\cdot\frac{25}{7}-\frac53=\frac{3325}{133}-\frac53=\frac{3250}{133}\).
7. ё) \(\frac{(3\frac13-2\frac23)\cdot2.4}{(15.5+4.5):2\frac12}\cdot5\frac37-(2\frac12+1\frac13):\frac16=\frac{\frac23\cdot\frac{12}{5}}8\cdot\frac{38}{7}-\frac{23}{6}\cdot6=\frac{38}{105}-23=-\frac{2377}{105}\).
8. з) \((2\frac7{15}+1\frac7{12})\cdot1\frac19-1\frac78=(\frac{37}{15}+\frac{19}{12})\cdot\frac{10}{9}-\frac{15}{8}=\frac{191}{54}-\frac{15}{8}=\frac{293}{216}\).
9. и) \((6\frac17-5\frac34):\frac{11}{14}+(3\frac34-1\frac56):\frac16=\frac{11}{28}\cdot\frac{14}{11}+\frac{23}{12}\cdot6=\frac12+\frac{23}{2}=12\).

Ответ: а) \(\frac{389}{55}\); б) \(-\frac13\); в) \(\frac45\); г) \(15.14\); д) \(0.2\); е) \(\frac{3250}{133}\); ё) \(-\frac{2377}{105}\); з) \(\frac{293}{216}\); и) \(12\).