Упр.133 Рабочая тетрадь №1 ГДЗ Мерзляк Полонский 6 класс (Математика)

1) 6 4/15 — 2 1/9 + 1 3/10;
2) 7 2/3 — 5 5/36 + 3 3/8;
3) 10 9/22 — 3 7/11 — 4 8/33;
4) 12 17/42 — (3 1/4 + 4 1/6);
5) 15 — (6 4/35 — 2 3/14).

1) Приведём дробные части к общему знаменателю:

$$ 6\frac{4}{15}-2\frac{1}{9}+1\frac{3}{10} =6\frac{24}{90}-2\frac{10}{90}+1\frac{27}{90} $$
$$ =4\frac{14}{90}+1\frac{27}{90} =5\frac{41}{90} $$

2)

$$ 7\frac{2}{3}-5\frac{5}{36}+3\frac{3}{8} =7\frac{48}{72}-5\frac{10}{72}+3\frac{27}{72} $$
$$ =2\frac{38}{72}+3\frac{27}{72} =5\frac{65}{72} $$

3)

$$ 10\frac{9}{22}-3\frac{7}{11}-4\frac{8}{33} =10\frac{27}{66}-3\frac{42}{66}-4\frac{16}{66} $$
$$ =9\frac{27}{66}-3\frac{42}{66}-4\frac{16}{66} =6\frac{51}{66}-4\frac{16}{66} =2\frac{35}{66} $$

4)

$$ 12\frac{17}{42}-\left(3\frac{1}{4}+4\frac{1}{6}\right) =12\frac{17}{42}-\left(3\frac{3}{12}+4\frac{2}{12}\right) $$
$$ =12\frac{17}{42}-7\frac{5}{12} =12\frac{34}{84}-7\frac{35}{84} =11\frac{118}{84}-7\frac{35}{84} =4\frac{83}{84} $$

5)

$$ 15-\left(6\frac{4}{35}-2\frac{3}{14}\right) =15-6\frac{4}{35}+2\frac{3}{14} $$
$$ =8\frac{31}{35}+2\frac{3}{14} =8\frac{62}{70}+2\frac{15}{70} =10\frac{77}{70} =11\frac{1}{10} $$

Ответ

1) $$5\frac{41}{90}$$; 2) $$5\frac{65}{72}$$; 3) $$2\frac{35}{66}$$; 4) $$4\frac{83}{84}$$; 5) $$11\frac{1}{10}$$.