Выполни, пожалуйста, действия: а) 1/12 + 17/18; б) 7/12 - 7/16; в) 16/45 * 25/56; г) 5 2/5 : 1 11/25

- a) \(\frac{1}{12} + \frac{17}{18} = \frac{1*3}{12*3} + \frac{17*2}{18*2} = \frac{3}{36} + \frac{34}{36} = \frac{3+34}{36} = \frac{37}{36} = 1\frac{1}{36}\) - б) \(\frac{7}{12} - \frac{7}{16} = \frac{7*4}{12*4} - \frac{7*3}{16*3} = \frac{28}{48} - \frac{21}{48} = \frac{28-21}{48} = \frac{7}{48}\) - в) \(\frac{16}{45} \cdot \frac{25}{56} = \frac{16 \cdot 25}{45 \cdot 56} = \frac{2 \cdot 5}{9 \cdot 7} = \frac{10}{63}\) - г) \(5\frac{2}{5} : 1\frac{11}{25} = \frac{5*5+2}{5} : \frac{1*25+11}{25} = \frac{27}{5} : \frac{36}{25} = \frac{27}{5} \cdot \frac{25}{36} = \frac{3}{1} \cdot \frac{5}{4} = \frac{3 \cdot 5}{1 \cdot 4} = \frac{15}{4} = 3\frac{3}{4}\) **Ответ:** - a) \(\frac{37}{36} = 1\frac{1}{36}\) - б) \(\frac{7}{48}\) - в) \(\frac{10}{63}\) - г) \(\frac{15}{4} = 3\frac{3}{4}\)