Решите уравнение с дробями:9 1/5 - (5х - 4 1/2) :

Решите уравнение с дробями:
9 1/5 - (5х - 4 1/2) : 11 1/4 = 8 14/15

9 1/5- 5х: 11 1/4+ 4 1/2: 11 1/4= 8 14/15

9 1/5- 5х : 45/4+ 9/2: 45/4= 8 14/15

46/5- 5х 4/45+ 9/2 4/45= 134/15

46/5- Х 4/9+ 1/1 2/5= 134/15

46/5- 4/9х + 2/5= 134/15

-4/9х= 134/15- 46/5- 2/5

-4/9х= 134/15- (483)/(53)

-4/9х= 134/15- 144/15

-4/9х= -10/15

-4/9х= -2/3

Х= (-2/3): (-4/9)

Х= 2/3 9/4

Х= 1/1 3/2

Х= 3/2= 1 1/2= 1,5

ОТВЕТ: Х= 1 1/2= 1,5.

Проверка
9 1/5 - (5х - 4 1/2) : 11 1/4 = 8 14/15

9 1/5- (5 3/2- 9/2): 45/4= 8 14/15

9 1/5- (15/2- 9/2) 4/45= 8 14/15

9 1/5- (6/2) 4/45= 8 14/15

9 1/5- 3/1 4/45= 8 14/15

9 1/5-1/1 4/15= 8 14/15

46/5- 4/15= 8 14/15

(463)/(53)- 4/15= 8 14/15

138/15- 4/15= 8 14/15

134/15= 8 14/15

8 14/15= 8 14/15



Если часть в десятичных дробях

Переводим в десятичные
9 1/5= 9 (12)/(52)= 9 2/10= 9,2
4 1/2= 4 (15)/(25)= 4 5/10= 4,5
11 1/4= 11 (125)/(425)= 11 25/100= 11,25

Или калькулятором 1:5=0,2; 9+0,2=9,2

Решите уравнение с дробями:

9 1/5 - (5х - 4 1/2) : 11 1/4 = 8 14/15

9,2- 5х: 11 1/4+4,5: 11,25= 8 14/15

9,2+ 0,4- 5х: 45/4= 8 14/15

9,6- 5х 4/45= 8 14/15

9 6/10- 4/9х= 8 14/15

9 3/5- 8 14/15= 4/9Х

9 (33)/(53)- 8 14/15= 4/9Х

1 9/15 - 14/15= 4/9Х

24/15- 14/15= 4/9Х

10/15= 4/9Х

Х= 10/15: 4/9

Х= 2/3 9/4

Х= 1/1 3/2

Х= 3/2= 1 1/2= 1,5



Проверка
9 1/5 - (5х - 4 1/2) : 11 1/4 = 8 14/15
9,2- (51,5- 4,5): 11,25= 8 14/15
9,2- (7,5-4,5):11,25= 8 14/15
9,2- 3: 11 1/4= 8 14/15
9,2- 3 : 45/4= 8 14/15
9,2- 3 4/45= 8 14/15
9,2- 1 4/15= 8 14/15
9 1/5-4/15= 8 14/15
8 (15+1)/5- 4/15= 8 14/15
8 6/5- 4/15= 8 14/15
8 (63)/(53)- 4/15= 8 14/15
8 18/15- 4/15= 8 14/15
8 14/15= 8 14/15