Выделите целую часть у дроби по образцу 18/7 = 2 4/7. 13/5; 69/4; 124/7; 234/19; 197/11. Решите уравнения: 3х +27 =0;

А)  Выделение целой части: 18/7 = 2 4/7

13/5 = 2 3/5;

69/4 = 17 1/4;

124/7 = 17 5/7;

234/19 = 12 6/19;

197/11 = 17 10/11.

Б) Решение уравнений:

1) 3х +27 =0;

3х = 27;

х = 27 / 3 = 9.

2) 7х + 9 = 100;

7х = 100 - 9;

7х = 91;

х = 91 / 7 = 13.

3) 9 + 13х = 35 + 26х;

13х - 26х = 35 - 9;

-13х = 26;

х = 26 / (-13) = -2.

4) 15 – 8х = 45 + 2х;

-8х - 2х = 45 - 15;

-10х = 30;

х = 30 / (-10) = -3.

5) 6х – 14 = 5х + 4;

6х - 5х = 4 + 14;

х = 18;

6) 2(2х + 4) = 5(3х – 1);

4х + 8 = 15х - 5

4х - 15х = - 5 - 8;

-11х = -13;

х = -13 / (-11) = 1 3/11.

7) 3(2х – 5) – 4(3х +2)= 0;

6х - 15 - 12х - 8 = 0;

-6х = 23;

х = 23 / (-6) = - 3 5/6.

8) 10(1 – 2х) + 3(11х – 5) = 5(2х – 3);

10 - 20х + 33х - 45 = 10х - 15

13х - 10х = -15 + 35;

3х = 20;

х = 20 / 3 = 6 2/3.

9) 2(х + 3) – 3(2 – 7х) = 2(х – 2);

2х + 6 - 6 + 21х = 2х - 4;

23х - 2х = -4;

21х = -4;

х = -4/21.

10) 5(3х – 2) = 3(х + 1) – 2(х +2);

15х - 10 = 3х + 3 - 2х - 4;

15х + х = -1 + 10;

16х = 9;

х = 9/16.