Задание 1. Найдите значение выражения. 1) \(\frac{3}{4} \cdot \frac{6}{5}\) 2) \(\frac{21}{5} \cdot \frac{3}{7}\) 3) \(\frac{3}{5} \cdot \frac{25}{4}\) 4) \(\frac{9}{5} \cdot \frac{2}{3}\) 5) \(\frac{5}{3} \cdot \frac{9}{2}\) 6) \(\frac{7}{5} \cdot \frac{12}{35}\) 7) \(\frac{12}{5} : \frac{15}{2}\) 8) \(\frac{6}{5} : \frac{4}{11}\) 9) \(\frac{3}{5} : \frac{4}{35}\) 10) \(\frac{15}{4} : \frac{3}{7}\) 11) \(\frac{21}{2} : \frac{3}{5}\) 12) \(\frac{14}{5} : \frac{7}{2}\) 13) \(\frac{1}{4} - \frac{3}{25}\) 14) \(\frac{1}{5} - \frac{27}{50}\) 15) \(\frac{1}{2} - \frac{9}{25}\) 16) \(\frac{1}{5} - \frac{3}{4}\) 17) \(\frac{1}{2} - \frac{13}{50}\) 18) \(\frac{1}{10} - \frac{23}{20}\) 19) \(\frac{14}{25} + \frac{3}{2}\) 20) \(\frac{9}{4} + \frac{8}{5}\) 21) \(\frac{11}{5} + \frac{13}{4}\) 22) \(\frac{1}{10} + \frac{21}{50}\) 23) \(\frac{3}{4} + \frac{7}{25}\) 24) \(\frac{4}{25} + \frac{15}{4}\)

**Решение задания 1:** 1) \(\frac{3}{4} \cdot \frac{6}{5} = \frac{3 \cdot 6}{4 \cdot 5} = \frac{18}{20} = \frac{9}{10} = 0.9\) 2) \(\frac{21}{5} \cdot \frac{3}{7} = \frac{21 \cdot 3}{5 \cdot 7} = \frac{3 \cdot 3}{5 \cdot 1} = \frac{9}{5} = 1.8\) 3) \(\frac{3}{5} \cdot \frac{25}{4} = \frac{3 \cdot 25}{5 \cdot 4} = \frac{3 \cdot 5}{1 \cdot 4} = \frac{15}{4} = 3.75\) 4) \(\frac{9}{5} \cdot \frac{2}{3} = \frac{9 \cdot 2}{5 \cdot 3} = \frac{3 \cdot 2}{5 \cdot 1} = \frac{6}{5} = 1.2\) 5) \(\frac{5}{3} \cdot \frac{9}{2} = \frac{5 \cdot 9}{3 \cdot 2} = \frac{5 \cdot 3}{1 \cdot 2} = \frac{15}{2} = 7.5\) 6) \(\frac{7}{5} \cdot \frac{12}{35} = \frac{7 \cdot 12}{5 \cdot 35} = \frac{1 \cdot 12}{5 \cdot 5} = \frac{12}{25} = 0.48\) 7) \(\frac{12}{5} : \frac{15}{2} = \frac{12}{5} \cdot \frac{2}{15} = \frac{12 \cdot 2}{5 \cdot 15} = \frac{4 \cdot 2}{5 \cdot 5} = \frac{8}{25} = 0.32\) 8) \(\frac{6}{5} : \frac{4}{11} = \frac{6}{5} \cdot \frac{11}{4} = \frac{6 \cdot 11}{5 \cdot 4} = \frac{3 \cdot 11}{5 \cdot 2} = \frac{33}{10} = 3.3\) 9) \(\frac{3}{5} : \frac{4}{35} = \frac{3}{5} \cdot \frac{35}{4} = \frac{3 \cdot 35}{5 \cdot 4} = \frac{3 \cdot 7}{1 \cdot 4} = \frac{21}{4} = 5.25\) 10) \(\frac{15}{4} : \frac{3}{7} = \frac{15}{4} \cdot \frac{7}{3} = \frac{15 \cdot 7}{4 \cdot 3} = \frac{5 \cdot 7}{4 \cdot 1} = \frac{35}{4} = 8.75\) 11) \(\frac{21}{2} : \frac{3}{5} = \frac{21}{2} \cdot \frac{5}{3} = \frac{21 \cdot 5}{2 \cdot 3} = \frac{7 \cdot 5}{2 \cdot 1} = \frac{35}{2} = 17.5\) 12) \(\frac{14}{5} : \frac{7}{2} = \frac{14}{5} \cdot \frac{2}{7} = \frac{14 \cdot 2}{5 \cdot 7} = \frac{2 \cdot 2}{5 \cdot 1} = \frac{4}{5} = 0.8\) 13) \(\frac{1}{4} - \frac{3}{25} = \frac{25}{100} - \frac{12}{100} = \frac{25 - 12}{100} = \frac{13}{100} = 0.13\) 14) \(\frac{1}{5} - \frac{27}{50} = \frac{10}{50} - \frac{27}{50} = \frac{10 - 27}{50} = \frac{-17}{50} = -0.34\) 15) \(\frac{1}{2} - \frac{9}{25} = \frac{25}{50} - \frac{18}{50} = \frac{25 - 18}{50} = \frac{7}{50} = 0.14\) 16) \(\frac{1}{5} - \frac{3}{4} = \frac{4}{20} - \frac{15}{20} = \frac{4 - 15}{20} = \frac{-11}{20} = -0.55\) 17) \(\frac{1}{2} - \frac{13}{50} = \frac{25}{50} - \frac{13}{50} = \frac{25 - 13}{50} = \frac{12}{50} = \frac{6}{25} = 0.24\) 18) \(\frac{1}{10} - \frac{23}{20} = \frac{2}{20} - \frac{23}{20} = \frac{2 - 23}{20} = \frac{-21}{20} = -1.05\) 19) \(\frac{14}{25} + \frac{3}{2} = \frac{28}{50} + \frac{75}{50} = \frac{28 + 75}{50} = \frac{103}{50} = 2.06\) 20) \(\frac{9}{4} + \frac{8}{5} = \frac{45}{20} + \frac{32}{20} = \frac{45 + 32}{20} = \frac{77}{20} = 3.85\) 21) \(\frac{11}{5} + \frac{13}{4} = \frac{44}{20} + \frac{65}{20} = \frac{44 + 65}{20} = \frac{109}{20} = 5.45\) 22) \(\frac{1}{10} + \frac{21}{50} = \frac{5}{50} + \frac{21}{50} = \frac{5 + 21}{50} = \frac{26}{50} = \frac{13}{25} = 0.52\) 23) \(\frac{3}{4} + \frac{7}{25} = \frac{75}{100} + \frac{28}{100} = \frac{75 + 28}{100} = \frac{103}{100} = 1.03\) 24) \(\frac{4}{25} + \frac{15}{4} = \frac{16}{100} + \frac{375}{100} = \frac{16 + 375}{100} = \frac{391}{100} = 3.91\)