Упр.58 Вариант 3 Дидактические материалы ГДЗ Мерзляк Полонский 6 класс (Математика)

Выполните действия:

1. 1) $$9\frac{5}{9}+5\frac{1}{4}-8\frac{3}{8}$$;
2. 3) $$\left(35\frac{17}{24}-7\frac{5}{16}\right)-12\frac{5}{8}$$;
3. 2) $$7\frac{11}{12}+6\frac{1}{15}-8{,}3$$;
4. 4) $$\left(23-15\frac{9}{14}\right)-\left(12\frac{1}{7}-8\frac{2}{5}\right)$$.

1) $$9\frac{5}{9}+5\frac{1}{4}-8\frac{3}{8}=9\frac{40}{72}+5\frac{18}{72}-8\frac{27}{72}=14\frac{58}{72}-8\frac{27}{72}=6\frac{31}{72}$$

2) $$7\frac{11}{12}+6\frac{1}{15}-8{,}3=7\frac{55}{60}+6\frac{4}{60}-8\frac{3}{10}=13\frac{59}{60}-8\frac{18}{60}=5\frac{41}{60}$$

3) $$\left(35\frac{17}{24}-7\frac{5}{16}\right)-12\frac{5}{8}=\left(35\frac{34}{48}-7\frac{15}{48}\right)-12\frac{30}{48}=28\frac{19}{48}-12\frac{30}{48}=27\frac{67}{48}-12\frac{30}{48}=15\frac{37}{48}$$

4) $$\left(23-15\frac{9}{14}\right)-\left(12\frac{1}{7}-8\frac{2}{5}\right)=\left(7\frac{5}{14}\right)-\left(12\frac{5}{35}-8\frac{14}{35}\right)=7\frac{5}{14}-3\frac{26}{35}=7\frac{25}{70}-3\frac{52}{70}=6\frac{95}{70}-3\frac{52}{70}=3\frac{43}{70}$$

Ответ: 1) $$6\frac{31}{72}$$; 2) $$5\frac{41}{60}$$; 3) $$15\frac{37}{48}$$; 4) $$3\frac{43}{70}$$.