Question

Решите: 1)11/14 - 3/42)9 3/4 + 3 1/6 3)7 8/9 - 2 2/3 4)4 1/12 - 1/6 5)5 5/6 - 2 4/7Решите уравнение:(5 7/9-x)+2 3/4= 3 5/12

Answer 1

11/14 - 3/4= 22/28 - 21/28=1/28
13
5 2/9
3 11/12
3 11/42

Уравнение
3 5/12 - 2 3/4=6/12
5 7/9 - 6/12 = 5 10/36 = 5/18

Answer 2

1) 11/14 + 3/4 11/14 = 33/42 33/42 + 3/42 = 36/42 36/42 = 6/7

2) 9+3/4 + 3+1/6 9+3/4 = 39/4 3+1/6 = 19/6 39/4 + 19/6 To add these fractions, we need to find a common denominator, which in this case is 12. 39/4 = 117/12 19/6 = 38/12 117/12 + 38/12 = 155/12 155/12 = 12 11/12

3) 7+8/9 + 2+2/3 7+8/9 = 71/9 2+2/3 = 8/3 71/9 + 8/3 To add these fractions, we need to find a common denominator, which in this case is 9. 71/9 + 24/9 = 95/9 95/9 = 10 5/9

4) 4+1/12 + 1/6 4+1/12 = 49/12 1/6 = 2/12 49/12 + 2/12 = 51/12 51/12 = 4 3/12 = 4 1/4

5) 5+5/6 + 2+4/7 5+5/6 = 35/6 2+4/7 = 18/7 35/6 + 18/7 To add these fractions, we need to find a common denominator, which in this case is 42. 35/6 = 245/42 18/7 = 108/42 245/42 + 108/42 = 353/42 353/42 = 8 17/42

Уравнение: (5+7/9-x)+2+3/4= 3+5/12 Переносим числа из левой части уравнения в правую: 5+7/9 + 2 + 3/4 - 3 - 5/12 = x Складываем числа в правой части: 5+7/9 + 2 + 3/4 - 3 - 5/12 = x 5+7/9 = 52/9 3/4 = 27/12 2 = 18/9 52/9 + 18/9 + 27/12 - 36/12 - 5/12 = x (52/9 + 18/9) + (27/12 - 36/12 - 5/12) = x 70/9 + (-14/12) = x 70/9 - 14/12 = x To subtract these fractions, we need to find a common denominator, which in this case is 36. (70/9 * 4/4) - (14/12 * 3/3) = x 280/36 - 42/36 = x 238/36 = x x = 119/18 x = 6 11/18