Вопрос:

1. Выполните действия: 5/9 - 1/2

Фотография

Ответ ассистента

1. $\frac{5}{9} - \frac{1}{2} = \frac{10}{18} - \frac{9}{18} = \frac{1}{18}$ 2. $\frac{10}{11} + \frac{2}{5} = \frac{50}{55} + \frac{22}{55} = \frac{72}{55} = 1\frac{17}{55}$ 3. $\frac{88}{121} - \frac{30}{90} = \frac{8}{11} - \frac{1}{3} = \frac{24}{33} - \frac{11}{33} = \frac{13}{33}$ 4. $\frac{70}{110} + \frac{52}{65} = \frac{7}{11} + \frac{4}{5} = \frac{35}{55} + \frac{44}{55} = \frac{79}{55} = 1\frac{24}{55}$ 5. $\frac{5}{9} + \frac{4}{15} - \frac{2}{5} = \frac{25}{45} + \frac{12}{45} - \frac{18}{45} = \frac{37-18}{45} = \frac{19}{45}$ 6. $\frac{8}{15} - \frac{8}{25} + \frac{3}{5} = \frac{40}{75} - \frac{24}{75} + \frac{45}{75} = \frac{16+45}{75} = \frac{61}{75}$ 7. $\frac{8}{16} + \frac{32}{48} + \frac{27}{126} = \frac{1}{2} + \frac{2}{3} + \frac{3}{14} = \frac{21}{42} + \frac{28}{42} + \frac{9}{42} = \frac{58}{42} = \frac{29}{21} = 1\frac{8}{21}$ 8. $16\frac{4}{5} - 5\frac{7}{30} = 16\frac{24}{30} - 5\frac{7}{30} = 11\frac{17}{30}$ 9. $19\frac{3}{4} - 16\frac{17}{22} = 19\frac{33}{44} - 16\frac{34}{44} = 18\frac{77}{44} - 16\frac{34}{44} = 2\frac{43}{44}$ 10. $(s + \frac{1}{3}) + \frac{3}{7} = \frac{13}{14} \Rightarrow s = \frac{13}{14} - \frac{3}{7} - \frac{1}{3} = \frac{39}{42} - \frac{18}{42} - \frac{14}{42} = \frac{7}{42} = \frac{1}{6}$ 11. $(z + \frac{43}{45}) - \frac{1}{2} = \frac{9}{10} \Rightarrow z = \frac{9}{10} + \frac{1}{2} - \frac{43}{45} = \frac{81}{90} + \frac{45}{90} - \frac{86}{90} = \frac{40}{90} = \frac{4}{9}$ 12. $(t - \frac{29}{36}) - \frac{15}{28} = \frac{3}{14} \Rightarrow t = \frac{3}{14} + \frac{15}{28} + \frac{29}{36} = \frac{6}{28} + \frac{15}{28} + \frac{29}{36} = \frac{21}{28} + \frac{29}{36} = \frac{3}{4} + \frac{29}{36} = \frac{27}{36} + \frac{29}{36} = \frac{56}{36} = \frac{14}{9} = 1\frac{5}{9}$

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