Вопрос:

5. 1$$\frac{4}{7}\cdot2= 1\frac{3}{8}\cdot3= 2\frac{2}{5}\cdot3= 8\cdot1\frac{1}{3}= 7\cdot3\frac{1}{2}= 2\cdot4\frac{1}{3}= 3\frac{1}{7}\cdot4= 2\frac{1}{9}\cdot2= 3\frac{2}{5}\cdot3= 1\frac{3}{4}\cdot\frac{8}{11}= 2\frac{1}{3}\cdot\frac{6}{7}= \frac{6}{7}\cdot\frac{7}{9}= \frac{5}{6}\cdot2\frac{3}{10}= \frac{9}{20}\cdot3\frac{1}{12}= 1\frac{5}{4}\cdot\frac{4}{15}= 1\frac{9}{11}\cdot\frac{3}{40}= 1\frac{2}{9}\cdot\frac{9}{10}=

Ответ:

Выполним умножение смешанных чисел:

  1. $$1\frac{4}{7}\cdot2=\frac{11}{7}\cdot2 = \frac{22}{7}=3\frac{1}{7}$$
  2. $$1\frac{3}{8}\cdot3=\frac{11}{8}\cdot3 = \frac{33}{8}=4\frac{1}{8}$$
  3. $$2\frac{2}{5}\cdot3=\frac{12}{5}\cdot3 = \frac{36}{5}=7\frac{1}{5}$$
  4. $$8\cdot1\frac{1}{3}=8\cdot\frac{4}{3} = \frac{32}{3}=10\frac{2}{3}$$
  5. $$7\cdot3\frac{1}{2}=7\cdot\frac{7}{2} = \frac{49}{2}=24\frac{1}{2}$$
  6. $$2\cdot4\frac{1}{3}=2\cdot\frac{13}{3} = \frac{26}{3}=8\frac{2}{3}$$
  7. $$3\frac{1}{7}\cdot4=\frac{22}{7}\cdot4 = \frac{88}{7}=12\frac{4}{7}$$
  8. $$2\frac{1}{9}\cdot2=\frac{19}{9}\cdot2 = \frac{38}{9}=4\frac{2}{9}$$
  9. $$3\frac{2}{5}\cdot3=\frac{17}{5}\cdot3 = \frac{51}{5}=10\frac{1}{5}$$
  10. $$1\frac{3}{4}\cdot\frac{8}{11}=\frac{7}{4}\cdot\frac{8}{11} = \frac{7\cdot2}{1\cdot11}=\frac{14}{11}=1\frac{3}{11}$$
  11. $$2\frac{1}{3}\cdot\frac{6}{7}=\frac{7}{3}\cdot\frac{6}{7} = \frac{1}{1}\cdot\frac{2}{1}=2$$
  12. $$\frac{6}{7}\cdot\frac{7}{9}=\frac{6}{9}=\frac{2}{3}$$
  13. $$\frac{5}{6}\cdot2\frac{3}{10}=\frac{5}{6}\cdot\frac{23}{10} = \frac{1}{6}\cdot\frac{23}{2}=\frac{23}{12}=1\frac{11}{12}$$
  14. $$\frac{9}{20}\cdot3\frac{1}{12}=\frac{9}{20}\cdot\frac{37}{12} = \frac{3}{20}\cdot\frac{37}{4}=\frac{111}{80}=1\frac{31}{80}$$
  15. $$1\frac{5}{4}\cdot\frac{4}{15}=\frac{9}{4}\cdot\frac{4}{15} = \frac{3}{1}\cdot\frac{1}{5}=\frac{3}{5}$$
  16. $$1\frac{9}{11}\cdot\frac{3}{40}=\frac{20}{11}\cdot\frac{3}{40} = \frac{1}{11}\cdot\frac{3}{2}=\frac{3}{22}$$
  17. $$1\frac{2}{9}\cdot\frac{9}{10}=\frac{11}{9}\cdot\frac{9}{10} = \frac{11}{1}\cdot\frac{1}{10}=\frac{11}{10}=1\frac{1}{10}$$

Ответ: 3$$\frac{1}{7}$$; 4$$\frac{1}{8}$$; 7$$\frac{1}{5}$$; 10$$\frac{2}{3}$$; 24$$\frac{1}{2}$$; 8$$\frac{2}{3}$$; 12$$\frac{4}{7}$$; 4$$\frac{2}{9}$$; 10$$\frac{1}{5}$$; 1$$\frac{3}{11}$$; 2; $$\frac{2}{3}$$; 1$$\frac{11}{12}$$; 1$$\frac{31}{80}$$; $$\frac{3}{5}$$; $$\frac{3}{22}$$; 1$$\frac{1}{10}$$

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