2. Приведите к наименьшему общему знаменателю дроби: а) 2/53 и 3/7; б) 8/39 и 5/117; в) 5/27 и 7/36.

1. \(53\) и \(7\) взаимно просты, НОЗ \(=53\cdot7=371\): \(\frac{2}{53}=\frac{14}{371}\), \(\frac{3}{7}=\frac{159}{371}\).
2. \(117=39\cdot3\), НОЗ \(=117\): \(\frac{8}{39}=\frac{24}{117}\), \(\frac{5}{117}=\frac{5}{117}\).
3. \(27=3^3\), \(36=2^2\cdot3^2\), НОЗ \(=2^2\cdot3^3=108\): \(\frac{5}{27}=\frac{20}{108}\), \(\frac{7}{36}=\frac{21}{108}\).

Ответ: а) \(\frac{14}{371}\) и \(\frac{159}{371}\); б) \(\frac{24}{117}\) и \(\frac{5}{117}\); в) \(\frac{20}{108}\) и \(\frac{21}{108}\).