Давай разберем этот пример по порядку. Наша задача - представить смешанные числа в виде неправильных дробей. Вспомним, как это делается:
Чтобы преобразовать смешанное число в неправильную дробь, нужно:
1. Целую часть умножить на знаменатель дробной части.
2. К полученному произведению прибавить числитель дробной части.
3. Записать полученную сумму в числитель неправильной дроби, а знаменатель оставить без изменений.
Теперь давай преобразуем каждое из чисел в неправильную дробь:
Столбец Б
\[3 \frac{11}{100} = \frac{3 \times 100 + 11}{100} = \frac{300 + 11}{100} = \frac{311}{100}\]
\[1 \frac{3}{10} = \frac{1 \times 10 + 3}{10} = \frac{10 + 3}{10} = \frac{13}{10}\]
\[2 \frac{5}{8} = \frac{2 \times 8 + 5}{8} = \frac{16 + 5}{8} = \frac{21}{8}\]
\[5 \frac{1}{3} = \frac{5 \times 3 + 1}{3} = \frac{15 + 1}{3} = \frac{16}{3}\]
\[4 \frac{2}{13} = \frac{4 \times 13 + 2}{13} = \frac{52 + 2}{13} = \frac{54}{13}\]
\[2 \frac{37}{100} = \frac{2 \times 100 + 37}{100} = \frac{200 + 37}{100} = \frac{237}{100}\]
\[1 \frac{4}{5} = \frac{1 \times 5 + 4}{5} = \frac{5 + 4}{5} = \frac{9}{5}\]
\[4 \frac{9}{10} = \frac{4 \times 10 + 9}{10} = \frac{40 + 9}{10} = \frac{49}{10}\]
\[6 \frac{5}{7} = \frac{6 \times 7 + 5}{7} = \frac{42 + 5}{7} = \frac{47}{7}\]
\[3 \frac{4}{15} = \frac{3 \times 15 + 4}{15} = \frac{45 + 4}{15} = \frac{49}{15}\]
Столбец B
\[1 \frac{9}{14} = \frac{1 \times 14 + 9}{14} = \frac{14 + 9}{14} = \frac{23}{14}\]
\[2 \frac{3}{11} = \frac{2 \times 11 + 3}{11} = \frac{22 + 3}{11} = \frac{25}{11}\]
\[5 \frac{7}{100} = \frac{5 \times 100 + 7}{100} = \frac{500 + 7}{100} = \frac{507}{100}\]
\[1 \frac{4}{7} = \frac{1 \times 7 + 4}{7} = \frac{7 + 4}{7} = \frac{11}{7}\]
\[3 \frac{1}{10} = \frac{3 \times 10 + 1}{10} = \frac{30 + 1}{10} = \frac{31}{10}\]
\[4 \frac{7}{10} = \frac{4 \times 10 + 7}{10} = \frac{40 + 7}{10} = \frac{47}{10}\]
\[3 \frac{5}{12} = \frac{3 \times 12 + 5}{12} = \frac{36 + 5}{12} = \frac{41}{12}\]
\[4 \frac{1}{4} = \frac{4 \times 4 + 1}{4} = \frac{16 + 1}{4} = \frac{17}{4}\]
\[1 \frac{11}{100} = \frac{1 \times 100 + 11}{100} = \frac{100 + 11}{100} = \frac{111}{100}\]
\[3 \frac{1}{5} = \frac{3 \times 5 + 1}{5} = \frac{15 + 1}{5} = \frac{16}{5}\]
\[2 \frac{63}{100} = \frac{2 \times 100 + 63}{100} = \frac{200 + 63}{100} = \frac{263}{100}\]
\[3 \frac{9}{10} = \frac{3 \times 10 + 9}{10} = \frac{30 + 9}{10} = \frac{39}{10}\]
\[6 \frac{1}{6} = \frac{6 \times 6 + 1}{6} = \frac{36 + 1}{6} = \frac{37}{6}\]
\[2 \frac{4}{13} = \frac{2 \times 13 + 4}{13} = \frac{26 + 4}{13} = \frac{30}{13}\]
Столбец Г
\[2 \frac{3}{13} = \frac{2 \times 13 + 3}{13} = \frac{26 + 3}{13} = \frac{29}{13}\]
\[1 \frac{8}{9} = \frac{1 \times 9 + 8}{9} = \frac{9 + 8}{9} = \frac{17}{9}\]
\[3 \frac{7}{10} = \frac{3 \times 10 + 7}{10} = \frac{30 + 7}{10} = \frac{37}{10}\]
\[1 \frac{11}{12} = \frac{1 \times 12 + 11}{12} = \frac{12 + 11}{12} = \frac{23}{12}\]
\[4 \frac{2}{3} = \frac{4 \times 3 + 2}{3} = \frac{12 + 2}{3} = \frac{14}{3}\]
\[1 \frac{51}{100} = \frac{1 \times 100 + 51}{100} = \frac{100 + 51}{100} = \frac{151}{100}\]
\[2 \frac{1}{7} = \frac{2 \times 7 + 1}{7} = \frac{14 + 1}{7} = \frac{15}{7}\]
\[3 \frac{4}{11} = \frac{3 \times 11 + 4}{11} = \frac{33 + 4}{11} = \frac{37}{11}\]
\[2 \frac{9}{10} = \frac{2 \times 10 + 9}{10} = \frac{20 + 9}{10} = \frac{29}{10}\]
\[5 \frac{3}{14} = \frac{5 \times 14 + 3}{14} = \frac{70 + 3}{14} = \frac{73}{14}\]
\[4 \frac{7}{15} = \frac{4 \times 15 + 7}{15} = \frac{60 + 7}{15} = \frac{67}{15}\]
\[2 \frac{2}{5} = \frac{2 \times 5 + 2}{5} = \frac{10 + 2}{5} = \frac{12}{5}\]
\[3 \frac{9}{100} = \frac{3 \times 100 + 9}{100} = \frac{300 + 9}{100} = \frac{309}{100}\]
\[2 \frac{8}{11} = \frac{2 \times 11 + 8}{11} = \frac{22 + 8}{11} = \frac{30}{11}\]
\[5 \frac{1}{13} = \frac{5 \times 13 + 1}{13} = \frac{65 + 1}{13} = \frac{66}{13}\]
Столбец Д
\[2 \frac{1}{14} = \frac{2 \times 14 + 1}{14} = \frac{28 + 1}{14} = \frac{29}{14}\]
\[1 \frac{3}{4} = \frac{1 \times 4 + 3}{4} = \frac{4 + 3}{4} = \frac{7}{4}\]
\[5 \frac{9}{10} = \frac{5 \times 10 + 9}{10} = \frac{50 + 9}{10} = \frac{59}{10}\]
\[3 \frac{4}{5} = \frac{3 \times 5 + 4}{5} = \frac{15 + 4}{5} = \frac{19}{5}\]
\[2 \frac{7}{12} = \frac{2 \times 12 + 7}{12} = \frac{24 + 7}{12} = \frac{31}{12}\]
\[3 \frac{3}{10} = \frac{3 \times 10 + 3}{10} = \frac{30 + 3}{10} = \frac{33}{10}\]
\[1 \frac{9}{11} = \frac{1 \times 11 + 9}{11} = \frac{11 + 9}{11} = \frac{20}{11}\]
\[5 \frac{43}{100} = \frac{5 \times 100 + 43}{100} = \frac{500 + 43}{100} = \frac{543}{100}\]
\[2 \frac{9}{10} = \frac{2 \times 10 + 9}{10} = \frac{20 + 9}{10} = \frac{29}{10}\]
\[5 \frac{3}{14} = \frac{5 \times 14 + 3}{14} = \frac{70 + 3}{14} = \frac{73}{14}\]
\[6 \frac{2}{15} = \frac{6 \times 15 + 2}{15} = \frac{90 + 2}{15} = \frac{92}{15}\]
\[4 \frac{27}{100} = \frac{4 \times 100 + 27}{100} = \frac{400 + 27}{100} = \frac{427}{100}\]
\[1 \frac{7}{10} = \frac{1 \times 10 + 7}{10} = \frac{10 + 7}{10} = \frac{17}{10}\]
\[3 \frac{2}{7} = \frac{3 \times 7 + 2}{7} = \frac{21 + 2}{7} = \frac{23}{7}\]
\[1 \frac{7}{13} = \frac{1 \times 13 + 7}{13} = \frac{13 + 7}{13} = \frac{20}{13}\]
\[2 \frac{5}{11} = \frac{2 \times 11 + 5}{11} = \frac{22 + 5}{11} = \frac{27}{11}\]
\[3 \frac{12}{13} = \frac{3 \times 13 + 12}{13} = \frac{39 + 12}{13} = \frac{51}{13}\]
Столбец E
\[3 \frac{10}{11} = \frac{3 \times 11 + 10}{11} = \frac{33 + 10}{11} = \frac{43}{11}\]
\[1 \frac{1}{9} = \frac{1 \times 9 + 1}{9} = \frac{9 + 1}{9} = \frac{10}{9}\]
\[6 \frac{7}{10} = \frac{6 \times 10 + 7}{10} = \frac{60 + 7}{10} = \frac{67}{10}\]
\[2 \frac{19}{100} = \frac{2 \times 100 + 19}{100} = \frac{200 + 19}{100} = \frac{219}{100}\]
\[5 \frac{1}{4} = \frac{5 \times 4 + 1}{4} = \frac{20 + 1}{4} = \frac{21}{4}\]
\[1 \frac{6}{11} = \frac{1 \times 11 + 6}{11} = \frac{11 + 6}{11} = \frac{17}{11}\]
\[2 \frac{3}{10} = \frac{2 \times 10 + 3}{10} = \frac{20 + 3}{10} = \frac{23}{10}\]
\[4 \frac{1}{7} = \frac{4 \times 7 + 1}{7} = \frac{28 + 1}{7} = \frac{29}{7}\]
\[5 \frac{5}{14} = \frac{5 \times 14 + 5}{14} = \frac{70 + 5}{14} = \frac{75}{14}\]
\[3 \frac{13}{100} = \frac{3 \times 100 + 13}{100} = \frac{300 + 13}{100} = \frac{313}{100}\]
\[7 \frac{1}{8} = \frac{7 \times 8 + 1}{8} = \frac{56 + 1}{8} = \frac{57}{8}\]
\[7 \frac{9}{10} = \frac{7 \times 10 + 9}{10} = \frac{70 + 9}{10} = \frac{79}{10}\]
\[5 \frac{6}{7} = \frac{5 \times 7 + 6}{7} = \frac{35 + 6}{7} = \frac{41}{7}\]
\[2 \frac{1}{13} = \frac{2 \times 13 + 1}{13} = \frac{26 + 1}{13} = \frac{27}{13}\]
\[6 \frac{5}{7} = \frac{6 \times 7 + 5}{7} = \frac{42 + 5}{7} = \frac{47}{7}\]
Ответ: все смешанные числа преобразованы в неправильные дроби.
Отлично! Ты уверенно справился с этой задачей. Продолжай в том же духе, и у тебя всё получится! Молодец!