Давайте приведем дроби к общему знаменателю.
а) \(\frac{2}{15}\) и \(\frac{5}{12}\)
Общий знаменатель 60. \(\frac{2}{15}\) = \(\frac{8}{60}\), \(\frac{5}{12}\) = \(\frac{25}{60}\). Ответ: \(\frac{8}{60}\) и \(\frac{25}{60}\).
б) \(\frac{5}{12}\) и \(\frac{7}{8}\)
Общий знаменатель 24. \(\frac{5}{12}\) = \(\frac{10}{24}\), \(\frac{7}{8}\) = \(\frac{21}{24}\). Ответ: \(\frac{10}{24}\) и \(\frac{21}{24}\).
в) \(\frac{6}{15}\) и \(\frac{11}{18}\)
Общий знаменатель 90. \(\frac{6}{15}\) = \(\frac{36}{90}\), \(\frac{11}{18}\) = \(\frac{55}{90}\). Ответ: \(\frac{36}{90}\) и \(\frac{55}{90}\).
г) \(\frac{5}{16}\) и \(\frac{5}{12}\)
Общий знаменатель 48. \(\frac{5}{16}\) = \(\frac{15}{48}\), \(\frac{5}{12}\) = \(\frac{20}{48}\). Ответ: \(\frac{15}{48}\) и \(\frac{20}{48}\).
д) \(\frac{7}{33}\) и \(\frac{3}{77}\)
Общий знаменатель 231. \(\frac{7}{33}\) = \(\frac{49}{231}\), \(\frac{3}{77}\) = \(\frac{9}{231}\). Ответ: \(\frac{49}{231}\) и \(\frac{9}{231}\).
е) \(\frac{2}{55}\) и \(\frac{5}{22}\)
Общий знаменатель 110. \(\frac{2}{55}\) = \(\frac{4}{110}\), \(\frac{5}{22}\) = \(\frac{25}{110}\). Ответ: \(\frac{4}{110}\) и \(\frac{25}{110}\).
ж) \(\frac{4}{15}\) и \(\frac{3}{20}\)
Общий знаменатель 60. \(\frac{4}{15}\) = \(\frac{16}{60}\), \(\frac{3}{20}\) = \(\frac{9}{60}\). Ответ: \(\frac{16}{60}\) и \(\frac{9}{60}\).
з) \(\frac{5}{121}\) и \(\frac{8}{9}\)
Общий знаменатель 1089. \(\frac{5}{121}\) = \(\frac{45}{1089}\), \(\frac{8}{9}\) = \(\frac{968}{1089}\). Ответ: \(\frac{45}{1089}\) и \(\frac{968}{1089}\).
и) \(\frac{1}{72}\) и \(\frac{1}{56}\)
Общий знаменатель 504. \(\frac{1}{72}\) = \(\frac{7}{504}\), \(\frac{1}{56}\) = \(\frac{9}{504}\). Ответ: \(\frac{7}{504}\) и \(\frac{9}{504}\).
к) \(\frac{1}{48}\) и \(\frac{1}{72}\)
Общий знаменатель 144. \(\frac{1}{48}\) = \(\frac{3}{144}\), \(\frac{1}{72}\) = \(\frac{2}{144}\). Ответ: \(\frac{3}{144}\) и \(\frac{2}{144}\).
л) \(\frac{2}{77}\) и \(\frac{3}{44}\)
Общий знаменатель 308. \(\frac{2}{77}\) = \(\frac{8}{308}\), \(\frac{3}{44}\) = \(\frac{21}{308}\). Ответ: \(\frac{8}{308}\) и \(\frac{21}{308}\).
м) \(\frac{1}{54}\) и \(\frac{1}{9}\)
Общий знаменатель 54. \(\frac{1}{54}\) остается без изменения, \(\frac{1}{9}\) = \(\frac{6}{54}\). Ответ: \(\frac{1}{54}\) и \(\frac{6}{54}\).
Ответы:
а) \(\frac{8}{60}\) и \(\frac{25}{60}\)
б) \(\frac{10}{24}\) и \(\frac{21}{24}\)
в) \(\frac{36}{90}\) и \(\frac{55}{90}\)
г) \(\frac{15}{48}\) и \(\frac{20}{48}\)
д) \(\frac{49}{231}\) и \(\frac{9}{231}\)
е) \(\frac{4}{110}\) и \(\frac{25}{110}\)
ж) \(\frac{16}{60}\) и \(\frac{9}{60}\)
з) \(\frac{45}{1089}\) и \(\frac{968}{1089}\)
и) \(\frac{7}{504}\) и \(\frac{9}{504}\)
к) \(\frac{3}{144}\) и \(\frac{2}{144}\)
л) \(\frac{8}{308}\) и \(\frac{21}{308}\)
м) \(\frac{1}{54}\) и \(\frac{6}{54}\)