Ответ: a) 2 3/5; б) 1 5/7; в) 10/13; г) 1 12/15
Краткое пояснение: Вычитаем целые и дробные части отдельно, при необходимости занимаем единицу из целой части.
- a) 3 \(\frac{4}{5}\) - 1 \(\frac{1}{5}\) = (3-1) + (\(\frac{4}{5}\) - \(\frac{1}{5}\)) = 2 + \(\frac{3}{5}\) = 2 \(\frac{3}{5}\)
- б) 4 \(\frac{2}{7}\) - 2 \(\frac{4}{7}\) = (3 + \(\frac{7}{7}\) + \(\frac{2}{7}\)) - 2 \(\frac{4}{7}\) = 3 \(\frac{9}{7}\) - 2 \(\frac{4}{7}\) = (3-2) + (\(\frac{9}{7}\) - \(\frac{4}{7}\)) = 1 + \(\frac{5}{7}\) = 1 \(\frac{5}{7}\)
- в) 5 \(\frac{2}{13}\) - 4 \(\frac{5}{13}\) = 4 \(\frac{13}{13}\) + \(\frac{2}{13}\) - 4 \(\frac{5}{13}\) = 4 \(\frac{15}{13}\) - 4 \(\frac{5}{13}\) = (4-4) + (\(\frac{15}{13}\) - \(\frac{5}{13}\)) = 0 + \(\frac{10}{13}\) = \(\frac{10}{13}\)
- г) 3 \(\frac{4}{15}\) - 1 \(\frac{7}{15}\) = 2 \(\frac{15}{15}\) + \(\frac{4}{15}\) - 1 \(\frac{7}{15}\) = 2 \(\frac{19}{15}\) - 1 \(\frac{7}{15}\) = (2-1) + (\(\frac{19}{15}\) - \(\frac{7}{15}\)) = 1 + \(\frac{12}{15}\) = 1 \(\frac{12}{15}\)
Ответ: a) 2 3/5; б) 1 5/7; в) 10/13; г) 1 12/15