2. Выполните вычитание: a) \(\frac{1}{11} - \frac{1}{33}\) б) \(\frac{7}{11} - \frac{7}{12}\) д) \(\frac{13}{30} - \frac{2}{45}\) и) \(\frac{13}{60} - \frac{7}{40}\) e) \(\frac{7}{15} - \frac{2}{5}\) к) \(\frac{11}{21} - \frac{3}{14}\)

Решение:

1. а) \(\frac{1}{11} - \frac{1}{33} = \frac{1 \times 3 - 1}{33} = \frac{3 - 1}{33} = \frac{2}{33}\)
2. б) \(\frac{7}{11} - \frac{7}{12} = \frac{7 \times 12 - 7 \times 11}{132} = \frac{84 - 77}{132} = \frac{7}{132}\)
3. д) \(\frac{13}{30} - \frac{2}{45} = \frac{13 \times 3 - 2 \times 2}{90} = \frac{39 - 4}{90} = \frac{35}{90} = \frac{7}{18}\)
4. и) \(\frac{13}{60} - \frac{7}{40} = \frac{13 \times 2 - 7 \times 3}{120} = \frac{26 - 21}{120} = \frac{5}{120} = \frac{1}{24}\)
5. е) \(\frac{7}{15} - \frac{2}{5} = \frac{7 - 2 \times 3}{15} = \frac{7 - 6}{15} = \frac{1}{15}\)
6. к) \(\frac{11}{21} - \frac{3}{14} = \frac{11 \times 2 - 3 \times 3}{42} = \frac{22 - 9}{42} = \frac{13}{42}\)

Ответ:

• а) \(\frac{2}{33}\)
• б) \(\frac{7}{132}\)
• д) \(\frac{7}{18}\)
• и) \(\frac{1}{24}\)
• е) \(\frac{1}{15}\)
• к) \(\frac{13}{42}\)