6. Приведите дроби к наименьшему общему знаменателю. 1 1 а) и ; 4 3' 1 1 б) и ; 5 6' 1 1 в) и ; 7 9' 2 5 7 г) , и ; 3'6' 12' 4 5 11 д) , и ; 3' 8' 16' 1 7 2 е) , и ; 6'8' 5' 3 7 8 ж) , и .

Привет! Сейчас приведем дроби к наименьшему общему знаменателю. Будь внимателен, у нас все получится!

Задание 6а

\[\frac{1}{4}\] и \[\frac{1}{3}\] НОК(4, 3) = 12 \[\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}\] \[\frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12}\]

Задание 6б

\[\frac{1}{5}\] и \[\frac{1}{6}\] НОК(5, 6) = 30 \[\frac{1}{5} = \frac{1 \times 6}{5 \times 6} = \frac{6}{30}\] \[\frac{1}{6} = \frac{1 \times 5}{6 \times 5} = \frac{5}{30}\]

Задание 6в

\[\frac{1}{7}\] и \[\frac{1}{9}\] НОК(7, 9) = 63 \[\frac{1}{7} = \frac{1 \times 9}{7 \times 9} = \frac{9}{63}\] \[\frac{1}{9} = \frac{1 \times 7}{9 \times 7} = \frac{7}{63}\]

Задание 6г

\[\frac{2}{3}\],\[\frac{5}{6}\] и \[\frac{7}{12}\] НОК(3, 6, 12) = 12 \[\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}\] \[\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}\] \[\frac{7}{12} = \frac{7}{12}\]

Задание 6д

\[\frac{4}{3}\],\[\frac{5}{8}\] и \[\frac{11}{16}\] НОК(3, 8, 16) = 48 \[\frac{4}{3} = \frac{4 \times 16}{3 \times 16} = \frac{64}{48}\] \[\frac{5}{8} = \frac{5 \times 6}{8 \times 6} = \frac{30}{48}\] \[\frac{11}{16} = \frac{11 \times 3}{16 \times 3} = \frac{33}{48}\]

Задание 6е

\[\frac{1}{6}\],\[\frac{7}{8}\] и \[\frac{2}{5}\] НОК(6, 8, 5) = 120 \[\frac{1}{6} = \frac{1 \times 20}{6 \times 20} = \frac{20}{120}\] \[\frac{7}{8} = \frac{7 \times 15}{8 \times 15} = \frac{105}{120}\] \[\frac{2}{5} = \frac{2 \times 24}{5 \times 24} = \frac{48}{120}\]

Задание 6ж

\[\frac{3}{5}\],\[\frac{7}{15}\] и \[\frac{8}{25}\] НОК(5, 15, 25) = 75 \[\frac{3}{5} = \frac{3 \times 15}{5 \times 15} = \frac{45}{75}\] \[\frac{7}{15} = \frac{7 \times 5}{15 \times 5} = \frac{35}{75}\] \[\frac{8}{25} = \frac{8 \times 3}{25 \times 3} = \frac{24}{75}\]

Ответ: а) \(\frac{3}{12}\), \(\frac{4}{12}\); б) \(\frac{6}{30}\), \(\frac{5}{30}\); в) \(\frac{9}{63}\), \(\frac{7}{63}\); г) \(\frac{8}{12}\), \(\frac{10}{12}\), \(\frac{7}{12}\); д) \(\frac{64}{48}\), \(\frac{30}{48}\), \(\frac{33}{48}\); е) \(\frac{20}{120}\), \(\frac{105}{120}\), \(\frac{48}{120}\); ж) \(\frac{45}{75}\), \(\frac{35}{75}\), \(\frac{24}{75}\)