Приведите дроби к наименьшему общему знаменателю: а) 7/30 и 29/84; б) 1/6 и 3/8; в) 11/35 и 7/45; г) 7/10 и 5/11; д) 3/20 и 1/16; е) 2/15 и 4/27.

а) НОЗ(30, 84) = 420. \(\frac{7}{30}=\frac{98}{420}\), \(\frac{29}{84}=\frac{145}{420}\).

б) НОЗ(6, 8) = 24. \(\frac{1}{6}=\frac{4}{24}\), \(\frac{3}{8}=\frac{9}{24}\).

в) НОЗ(35, 45) = 315. \(\frac{11}{35}=\frac{99}{315}\), \(\frac{7}{45}=\frac{49}{315}\).

г) НОЗ(10, 11) = 110. \(\frac{7}{10}=\frac{77}{110}\), \(\frac{5}{11}=\frac{50}{110}\).

д) НОЗ(20, 16) = 80. \(\frac{3}{20}=\frac{12}{80}\), \(\frac{1}{16}=\frac{5}{80}\).

е) НОЗ(15, 27) = 135. \(\frac{2}{15}=\frac{18}{135}\), \(\frac{4}{27}=\frac{20}{135}\).

Ответ: а) \(\frac{98}{420}\) и \(\frac{145}{420}\); б) \(\frac{4}{24}\) и \(\frac{9}{24}\); в) \(\frac{99}{315}\) и \(\frac{49}{315}\); г) \(\frac{77}{110}\) и \(\frac{50}{110}\); д) \(\frac{12}{80}\) и \(\frac{5}{80}\); е) \(\frac{18}{135}\) и \(\frac{20}{135}\).