Ответ:
- \(\frac{1}{5}+\frac{53}{50}=\frac{10}{50}+\frac{53}{50}=\frac{63}{50}=1\frac{13}{50}\).
- \(\frac{9}{4}+\frac{8}{5}=\frac{45}{20}+\frac{32}{20}=\frac{77}{20}=3\frac{17}{20}\).
- \(\frac{1}{10}+\frac{6}{15}=\frac{1}{10}+\frac{2}{5}=\frac{1}{10}+\frac{4}{10}=\frac{1}{2}\).
- \(\frac{1}{5}-\frac{47}{10}=\frac{2}{10}-\frac{47}{10}=-\frac{45}{10}=-\frac{9}{2}\).
- \(\frac{1}{2}-\frac{9}{10}=\frac{5}{10}-\frac{9}{10}=-\frac{4}{10}=-\frac{2}{5}\).
- \(\frac{11}{12}-\frac{5}{18}=\frac{33}{36}-\frac{10}{36}=\frac{23}{36}\).
- \(\frac{9}{5}\cdot\frac{2}{3}=\frac{18}{15}=\frac{6}{5}=1\frac{1}{5}\).
- \(\frac{15}{4}\cdot\frac{6}{5}=\frac{90}{20}=\frac{9}{2}=4\frac{1}{2}\).
- \(\frac{2}{3}\cdot\frac{9}{8}=\frac{18}{24}=\frac{3}{4}\).
- \(\frac{6}{5}:\frac{4}{11}=\frac{6}{5}\cdot\frac{11}{4}=\frac{66}{20}=\frac{33}{10}=3\frac{3}{10}\).
- \(\frac{12}{5}:\frac{15}{2}=\frac{12}{5}\cdot\frac{2}{15}=\frac{24}{75}=\frac{8}{25}\).
- \(\frac{6}{11}:\frac{3}{22}=\frac{6}{11}\cdot\frac{22}{3}=12\).
- \(\left(\frac{13}{30}-\frac{11}{20}\right):\frac{9}{5}=\left(\frac{26}{60}-\frac{33}{60}\right)\cdot\frac{5}{9}=-\frac{7}{60}\cdot\frac{5}{9}=-\frac{7}{108}\).
- \(\left(\frac{17}{15}-\frac{1}{12}\right)\cdot\frac{20}{3}=\left(\frac{68}{60}-\frac{5}{60}\right)\cdot\frac{20}{3}=\frac{21}{20}\cdot\frac{20}{3}=7\).
- \(\frac{14}{5}\cdot\left(\frac{3}{14}-\frac{5}{28}\right)=\frac{14}{5}\cdot\left(\frac{6}{28}-\frac{5}{28}\right)=\frac{14}{5}\cdot\frac{1}{28}=\frac{1}{10}\).
- \(\left(\frac{11}{18}+\frac{2}{9}\right):\frac{5}{48}=\left(\frac{11}{18}+\frac{4}{18}\right)\cdot\frac{48}{5}=\frac{15}{18}\cdot\frac{48}{5}=\frac{5}{6}\cdot\frac{48}{5}=8\).
- \(\left(\frac{11}{10}-\frac{4}{11}\right)\cdot\frac{15}{44}=\left(\frac{121}{110}-\frac{40}{110}\right)\cdot\frac{15}{44}=\frac{81}{110}\cdot\frac{15}{44}=\frac{243}{968}\).
- \(\left(\frac{6}{8}-\frac{3}{16}\right):\frac{3}{32}=\left(\frac{12}{16}-\frac{3}{16}\right)\cdot\frac{32}{3}=\frac{9}{16}\cdot\frac{32}{3}=6\).
Ответ: 1) \(\frac{63}{50}\); 2) \(\frac{77}{20}\); 3) \(\frac{1}{2}\); 4) \(-\frac{9}{2}\); 5) \(-\frac{2}{5}\); 6) \(\frac{23}{36}\); 7) \(\frac{6}{5}\); 8) \(\frac{9}{2}\); 9) \(\frac{3}{4}\); 10) \(\frac{33}{10}\); 11) \(\frac{8}{25}\); 12) \(12\); 13) \(-\frac{7}{108}\); 14) \(7\); 15) \(\frac{1}{10}\); 16) \(8\); 17) \(\frac{243}{968}\); 18) \(6\).
