Ученик Класс Вариант 4 Приведи к общему : знаменателю дроби: 5 1) и 8 6 4 2)→ 7 3 5 7 3) и 9 12 9 4 4)-и 10 15 5)→ 11 4 7 5 6)-и 12 9 2 기해 5 10 8 8)-и 9) 10) 11 15 20 5 3 14 7 75 -и 16 12 7 3 12

Ответ: Приведены дроби к общему знаменателю

1. 1) \(\frac{3}{8}\) и \(\frac{5}{6}\)

   • НОЗ(8, 6) = 24
   • \(\frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24}\)
   • \(\frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24}\)

   2) \(\frac{4}{7}\) и \(\frac{2}{3}\)

   • НОЗ(7, 3) = 21
   • \(\frac{4}{7} = \frac{4 \times 3}{7 \times 3} = \frac{12}{21}\)
   • \(\frac{2}{3} = \frac{2 \times 7}{3 \times 7} = \frac{14}{21}\)

2. 3) \(\frac{5}{9}\) и \(\frac{7}{12}\)

   • НОЗ(9, 12) = 36
   • \(\frac{5}{9} = \frac{5 \times 4}{9 \times 4} = \frac{20}{36}\)
   • \(\frac{7}{12} = \frac{7 \times 3}{12 \times 3} = \frac{21}{36}\)

3. 4) \(\frac{9}{10}\) и \(\frac{4}{15}\)

   • НОЗ(10, 15) = 30
   • \(\frac{9}{10} = \frac{9 \times 3}{10 \times 3} = \frac{27}{30}\)
   • \(\frac{4}{15} = \frac{4 \times 2}{15 \times 2} = \frac{8}{30}\)

4. 5) \(\frac{6}{11}\) и \(\frac{3}{4}\)

   • НОЗ(11, 4) = 44
   • \(\frac{6}{11} = \frac{6 \times 4}{11 \times 4} = \frac{24}{44}\)
   • \(\frac{3}{4} = \frac{3 \times 11}{4 \times 11} = \frac{33}{44}\)

5. 6) \(\frac{7}{12}\) и \(\frac{5}{9}\)

   • НОЗ(12, 9) = 36
   • \(\frac{7}{12} = \frac{7 \times 3}{12 \times 3} = \frac{21}{36}\)
   • \(\frac{5}{9} = \frac{5 \times 4}{9 \times 4} = \frac{20}{36}\)

6. 7) \(\frac{2}{5}\) и \(\frac{3}{10}\)

   • НОЗ(5, 10) = 10
   • \(\frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10}\)
   • \(\frac{3}{10} = \frac{3}{10}\)

7. 8) \(\frac{8}{15}\) и \(\frac{11}{20}\)

   • НОЗ(15, 20) = 60
   • \(\frac{8}{15} = \frac{8 \times 4}{15 \times 4} = \frac{32}{60}\)
   • \(\frac{11}{20} = \frac{11 \times 3}{20 \times 3} = \frac{33}{60}\)

8. 9) \(\frac{5}{14}\) и \(\frac{3}{7}\)

   • НОЗ(14, 7) = 14
   • \(\frac{5}{14} = \frac{5}{14}\)
   • \(\frac{3}{7} = \frac{3 \times 2}{7 \times 2} = \frac{6}{14}\)

9. 10) \(\frac{7}{16}\) и \(\frac{5}{12}\)

   • НОЗ(16, 12) = 48
   • \(\frac{7}{16} = \frac{7 \times 3}{16 \times 3} = \frac{21}{48}\)
   • \(\frac{5}{12} = \frac{5 \times 4}{12 \times 4} = \frac{20}{48}\)

Ответ: Приведены дроби к общему знаменателю