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2.145 Приведите к наименьшему общему знаменателю дроби: а) \(\frac{9}{65}\), \(\frac{21}{50}\) и \(\frac{11}{650}\); б) \(\frac{32}{63}\), \(\frac{7}{147}\) и \(\frac{41}{55}\); в) \(\frac{11}{15}\), \(\frac{7}{12}\) и \(\frac{37}{60}\); г) \(\frac{71}{108}\), \(\frac{23}{72}\) и \(\frac{47}{90}\).
2.145
а) НОК(65, 50, 650) = 650: \[ \frac{9}{65}=\frac{90}{650},\quad \frac{21}{50}=\frac{273}{650},\quad \frac{11}{650} \]
б) НОК(63, 147, 55) = 24 255: \[ \frac{32}{63}=\frac{12\,320}{24\,255},\quad \frac{7}{147}=\frac{1\,155}{24\,255},\quad \frac{41}{55}=\frac{18\,081}{24\,255} \]
в) НОК(15, 12, 60) = 60: \[ \frac{11}{15}=\frac{44}{60},\quad \frac{7}{12}=\frac{35}{60},\quad \frac{37}{60} \]
г) НОК(108, 72, 90) = 1080: \[ \frac{71}{108}=\frac{710}{1080},\quad \frac{23}{72}=\frac{345}{1080},\quad \frac{47}{90}=\frac{564}{1080} \]