Вопрос:

801. Приведите дроби к общему знаменателю: а) \(\frac{2}{15}\) и \(\frac{5}{12}\) б) \(\frac{5}{12}\) и \(\frac{7}{8}\) в) \(\frac{6}{15}\) и \(\frac{11}{18}\) г) \(\frac{5}{16}\) и \(\frac{5}{12}\) д) \(\frac{7}{33}\) и \(\frac{3}{77}\) е) \(\frac{2}{55}\) и \(\frac{5}{22}\) ж) \(\frac{4}{15}\) и \(\frac{3}{20}\) з) \(\frac{5}{121}\) и \(\frac{8}{99}\) и) \(\frac{1}{72}\) и \(\frac{1}{56}\) к) \(\frac{1}{48}\) и \(\frac{1}{72}\) л) \(\frac{2}{77}\) и \(\frac{3}{44}\) м) \(\frac{1}{51}\) и \(\frac{1}{68}\) н) \(\frac{5}{36}\) и \(\frac{7}{54}\) о) \(\frac{9}{35}\) и \(\frac{11}{42}\) п) \(\frac{4}{49}\) и \(\frac{5}{63}\) р) \(\frac{15}{98}\) и \(\frac{13}{72}\)

Ответ:

Приведем дроби к общему знаменателю: а) \(\frac{2}{15}\) и \(\frac{5}{12}\). НОЗ(15, 12) = 60. \(\frac{2}{15} = \frac{8}{60}\), \(\frac{5}{12} = \frac{25}{60}\). Дроби: \(\frac{8}{60}\) и \(\frac{25}{60}\). б) \(\frac{5}{12}\) и \(\frac{7}{8}\). НОЗ(12, 8) = 24. \(\frac{5}{12} = \frac{10}{24}\), \(\frac{7}{8} = \frac{21}{24}\). Дроби: \(\frac{10}{24}\) и \(\frac{21}{24}\). в) \(\frac{6}{15}\) и \(\frac{11}{18}\). НОЗ(15, 18) = 90. \(\frac{6}{15} = \frac{36}{90}\), \(\frac{11}{18} = \frac{55}{90}\). Дроби: \(\frac{36}{90}\) и \(\frac{55}{90}\). г) \(\frac{5}{16}\) и \(\frac{5}{12}\). НОЗ(16, 12) = 48. \(\frac{5}{16} = \frac{15}{48}\), \(\frac{5}{12} = \frac{20}{48}\). Дроби: \(\frac{15}{48}\) и \(\frac{20}{48}\). д) \(\frac{7}{33}\) и \(\frac{3}{77}\). НОЗ(33, 77) = 231. \(\frac{7}{33} = \frac{49}{231}\), \(\frac{3}{77} = \frac{9}{231}\). Дроби: \(\frac{49}{231}\) и \(\frac{9}{231}\). е) \(\frac{2}{55}\) и \(\frac{5}{22}\). НОЗ(55, 22) = 110. \(\frac{2}{55} = \frac{4}{110}\), \(\frac{5}{22} = \frac{25}{110}\). Дроби: \(\frac{4}{110}\) и \(\frac{25}{110}\). ж) \(\frac{4}{15}\) и \(\frac{3}{20}\). НОЗ(15, 20) = 60. \(\frac{4}{15} = \frac{16}{60}\), \(\frac{3}{20} = \frac{9}{60}\). Дроби: \(\frac{16}{60}\) и \(\frac{9}{60}\). з) \(\frac{5}{121}\) и \(\frac{8}{99}\). НОЗ(121, 99) = 1089. \(\frac{5}{121} = \frac{45}{1089}\), \(\frac{8}{99} = \frac{88}{1089}\). Дроби: \(\frac{45}{1089}\) и \(\frac{88}{1089}\). и) \(\frac{1}{72}\) и \(\frac{1}{56}\). НОЗ(72, 56) = 504. \(\frac{1}{72} = \frac{7}{504}\), \(\frac{1}{56} = \frac{9}{504}\). Дроби: \(\frac{7}{504}\) и \(\frac{9}{504}\). к) \(\frac{1}{48}\) и \(\frac{1}{72}\). НОЗ(48, 72) = 144. \(\frac{1}{48} = \frac{3}{144}\), \(\frac{1}{72} = \frac{2}{144}\). Дроби: \(\frac{3}{144}\) и \(\frac{2}{144}\). л) \(\frac{2}{77}\) и \(\frac{3}{44}\). НОЗ(77, 44) = 308. \(\frac{2}{77} = \frac{8}{308}\), \(\frac{3}{44} = \frac{21}{308}\). Дроби: \(\frac{8}{308}\) и \(\frac{21}{308}\). м) \(\frac{1}{51}\) и \(\frac{1}{68}\). НОЗ(51, 68) = 204. \(\frac{1}{51} = \frac{4}{204}\), \(\frac{1}{68} = \frac{3}{204}\). Дроби: \(\frac{4}{204}\) и \(\frac{3}{204}\). н) \(\frac{5}{36}\) и \(\frac{7}{54}\). НОЗ(36, 54) = 108. \(\frac{5}{36} = \frac{15}{108}\), \(\frac{7}{54} = \frac{14}{108}\). Дроби: \(\frac{15}{108}\) и \(\frac{14}{108}\). о) \(\frac{9}{35}\) и \(\frac{11}{42}\). НОЗ(35, 42) = 210. \(\frac{9}{35} = \frac{54}{210}\), \(\frac{11}{42} = \frac{55}{210}\). Дроби: \(\frac{54}{210}\) и \(\frac{55}{210}\). п) \(\frac{4}{49}\) и \(\frac{5}{63}\). НОЗ(49, 63) = 441. \(\frac{4}{49} = \frac{36}{441}\), \(\frac{5}{63} = \frac{35}{441}\). Дроби: \(\frac{36}{441}\) и \(\frac{35}{441}\). р) \(\frac{15}{98}\) и \(\frac{13}{72}\). НОЗ(98, 72) = 3528. \(\frac{15}{98} = \frac{540}{3528}\), \(\frac{13}{72} = \frac{637}{3528}\). Дроби: \(\frac{540}{3528}\) и \(\frac{637}{3528}\).
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