Контрольные задания > Выполни действие: 7) 1$\frac{1}{14}-$\frac{5}{12}= 8) 14$\frac{2}{3}-11$\frac{7}{9}= 9) $\frac{5}{13}-\frac{5}{8}= 10) 12$\frac{1}{45}-8$\frac{2}{27}= 11) 9$\frac{1}{4}-2$\frac{7}{25}= 12) 7$\frac{3}{22}-\frac{5}{77}= 13) $\frac{7}{12}-\frac{1}{18}= 14) 5$\frac{1}{6}-\frac{1}{25}= 15) 9$\frac{17}{60}-1$\frac{5}{42}= 16) $\frac{5}{8}-\frac{4}{7}= 17) 16$\frac{5}{16}-8$\frac{1}{4}=$
Вопрос:

Выполни действие: 7) 1$$\frac{1}{14}-$$\frac{5}{12}= 8) 14$$\frac{2}{3}-11$$\frac{7}{9}= 9) $$\frac{5}{13}-\frac{5}{8}= 10) 12$$\frac{1}{45}-8$$\frac{2}{27}= 11) 9$$\frac{1}{4}-2$$\frac{7}{25}= 12) 7$$\frac{3}{22}-\frac{5}{77}= 13) $$\frac{7}{12}-\frac{1}{18}= 14) 5$$\frac{1}{6}-\frac{1}{25}= 15) 9$$\frac{17}{60}-1$$\frac{5}{42}= 16) $$\frac{5}{8}-\frac{4}{7}= 17) 16$$\frac{5}{16}-8$$\frac{1}{4}=$$

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Ответ:

  1. $$\frac{1}{14}-\frac{5}{12}= \frac{15}{14 \cdot 12} - \frac{5 \cdot 7}{12 \cdot 7} = \frac{15 - 35}{84} = \frac{-20}{84} = -\frac{5}{21}$$
  2. $$14\frac{2}{3}-11\frac{7}{9}= \frac{14 \cdot 3 + 2}{3} - \frac{11 \cdot 9 + 7}{9} = \frac{44}{3} - \frac{106}{9} = \frac{44 \cdot 3}{3 \cdot 3} - \frac{106}{9} = \frac{132 - 106}{9} = \frac{26}{9} = 2\frac{8}{9}$$
  3. $$\frac{5}{13}-\frac{5}{8}= \frac{5 \cdot 8 - 5 \cdot 13}{13 \cdot 8} = \frac{40 - 65}{104} = \frac{-25}{104} = -\frac{25}{104}$$
  4. $$12\frac{1}{45}-8\frac{2}{27} = \frac{12 \cdot 45 + 1}{45} - \frac{8 \cdot 27 + 2}{27} = \frac{541}{45} - \frac{218}{27} = \frac{541 \cdot 3}{45 \cdot 3} - \frac{218 \cdot 5}{27 \cdot 5} = \frac{1623 - 1090}{135} = \frac{533}{135} = 3\frac{128}{135}$$
  5. $$9\frac{1}{4}-2\frac{7}{25} = \frac{9 \cdot 4 + 1}{4} - \frac{2 \cdot 25 + 7}{25} = \frac{37}{4} - \frac{57}{25} = \frac{37 \cdot 25 - 57 \cdot 4}{4 \cdot 25} = \frac{925 - 228}{100} = \frac{697}{100} = 6\frac{97}{100}$$
  6. $$7\frac{3}{22}-\frac{5}{77} = \frac{7 \cdot 22 + 3}{22} - \frac{5}{77} = \frac{157}{22} - \frac{5}{77} = \frac{157 \cdot 7 - 5 \cdot 2}{22 \cdot 7} = \frac{1099 - 10}{154} = \frac{1089}{154} = \frac{99}{14} = 7\frac{1}{14}$$
  7. $$\frac{7}{12}-\frac{1}{18} = \frac{7 \cdot 3 - 1 \cdot 2}{36} = \frac{21 - 2}{36} = \frac{19}{36}$$
  8. $$5\frac{1}{6}-\frac{1}{25} = \frac{5 \cdot 6 + 1}{6} - \frac{1}{25} = \frac{31}{6} - \frac{1}{25} = \frac{31 \cdot 25 - 1 \cdot 6}{6 \cdot 25} = \frac{775 - 6}{150} = \frac{769}{150} = 5\frac{19}{150}$$
  9. $$9\frac{17}{60}-1\frac{5}{42} = \frac{9 \cdot 60 + 17}{60} - \frac{1 \cdot 42 + 5}{42} = \frac{557}{60} - \frac{47}{42} = \frac{557 \cdot 7 - 47 \cdot 10}{420} = \frac{3899 - 470}{420} = \frac{3429}{420} = \frac{1143}{140} = 8\frac{23}{140}$$
  10. $$\frac{5}{8}-\frac{4}{7}= \frac{5 \cdot 7 - 4 \cdot 8}{8 \cdot 7} = \frac{35 - 32}{56} = \frac{3}{56}$$
  11. $$16\frac{5}{16}-8\frac{1}{4} = \frac{16 \cdot 16 + 5}{16} - \frac{8 \cdot 4 + 1}{4} = \frac{261}{16} - \frac{33}{4} = \frac{261 - 33 \cdot 4}{16} = \frac{261 - 132}{16} = \frac{129}{16} = 8\frac{1}{16}$$
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