Вопрос:

Задание 115. Разделите числитель и знаменатель дроби на данное число и запишите получившуюся дробь: 1) на 2: 6/12, 10/30, 8/14, 4/18; 2) на 3: 9/15, 6/9, 3/24, 30/45; 3) на 5: 10/20, 5/35, 45/50, 15/30; 4) на 7: 14/21, 7/28, 42/70, 14/56; 5) на 4: 12/16, 4/24, 20/48, 32/44; 6) на 6: 18/36, 24/54, 66/90, 30/120; 7) на 8: 8/24, 40/88, 16/32, 48/72; 8) на 9: 9/36, 45/90, 18/54, 99/180; 9) на 10: 20/50, 40/100, 30/80, 100/140; 10) на 100: 100/300, 200/500, 3500/4000, 1000/7000.

Ответ:

Делим числитель и знаменатель каждой дроби на указанное число.

  1. На 2: \(\frac{6}{12}=\frac{3}{6}\); \(\frac{10}{30}=\frac{5}{15}\); \(\frac{8}{14}=\frac{4}{7}\); \(\frac{4}{18}=\frac{2}{9}\).
  2. На 3: \(\frac{9}{15}=\frac{3}{5}\); \(\frac{6}{9}=\frac{2}{3}\); \(\frac{3}{24}=\frac{1}{8}\); \(\frac{30}{45}=\frac{10}{15}\).
  3. На 5: \(\frac{10}{20}=\frac{2}{4}\); \(\frac{5}{35}=\frac{1}{7}\); \(\frac{45}{50}=\frac{9}{10}\); \(\frac{15}{30}=\frac{3}{6}\).
  4. На 7: \(\frac{14}{21}=\frac{2}{3}\); \(\frac{7}{28}=\frac{1}{4}\); \(\frac{42}{70}=\frac{6}{10}\); \(\frac{14}{56}=\frac{2}{8}\).
  5. На 4: \(\frac{12}{16}=\frac{3}{4}\); \(\frac{4}{24}=\frac{1}{6}\); \(\frac{20}{48}=\frac{5}{12}\); \(\frac{32}{44}=\frac{8}{11}\).
  6. На 6: \(\frac{18}{36}=\frac{3}{6}\); \(\frac{24}{54}=\frac{4}{9}\); \(\frac{66}{90}=\frac{11}{15}\); \(\frac{30}{120}=\frac{5}{20}\).
  7. На 8: \(\frac{8}{24}=\frac{1}{3}\); \(\frac{40}{88}=\frac{5}{11}\); \(\frac{16}{32}=\frac{2}{4}\); \(\frac{48}{72}=\frac{6}{9}\).
  8. На 9: \(\frac{9}{36}=\frac{1}{4}\); \(\frac{45}{90}=\frac{5}{10}\); \(\frac{18}{54}=\frac{2}{6}\); \(\frac{99}{180}=\frac{11}{20}\).
  9. На 10: \(\frac{20}{50}=\frac{2}{5}\); \(\frac{40}{100}=\frac{4}{10}\); \(\frac{30}{80}=\frac{3}{8}\); \(\frac{100}{140}=\frac{10}{14}\).
  10. На 100: \(\frac{100}{300}=\frac{1}{3}\); \(\frac{200}{500}=\frac{2}{5}\); \(\frac{3500}{4000}=\frac{35}{40}\); \(\frac{1000}{7000}=\frac{10}{70}\).