Question

12*(1 3/4x+5/8)= 8 1/2 ​

Answer 1

Ответ:

1/21

Пошаговое объяснение:

12 * (1 3/4х + 5/8) = 8 1/2

1 3/4х + 5/8 = 8 1/2 : 12

1 3/4х + 5/8 = 17/2 * 1/12

1 3/4х + 5/8 = 17/24

1 3/4х = 17/24 - 5/8

1 3/4х = 17/24 - 15/24

7/4х = 2/24

х = 2/24 : 7/4

х = 2/24 * 4/7

х = 2/6 * 1/7

х = 2/42

х = 1/21

Answer 2

$12(1 \frac{3}{4} x + \frac{5}{8} ) = 8 \frac{1}{2} \\ 1 \frac{3}{4} x + \frac{5}{8} = 8 \frac{1}{2} \div 12 \\ 1 \frac{3}{4} x + \frac{5}{8} = \frac{17}{2 \times 12} \\ 1 \frac{3}{4} x + \frac{5}{8} = \frac{17}{24} \\ 1 \frac{3}{4} x = \frac{17}{24} - \frac{5}{8} \\ 1 \frac{3}{4} x = \frac{17 - 15}{24} \\ 1 \frac{3}{4} x = \frac{2}{24} \\ 1 \frac{3}{4} x = \frac{1}{12} \\ x = \frac{1}{12} \div 1 \frac{3}{4} \\ x = \frac{1 \times 4}{12 \times 7} \\ x = \frac{1}{3 \times 7 } \\ x = \frac{1}{21}$