Question

-1 1/9х=5/6P.S / дроб​

Answer 1

Ответ:

$x = \frac{3}{4}$

Пошаговое объяснение:

$- 1 \frac{1}{9} x = \frac{5}{6}$

$\frac{10}{9} x = \frac{5}{6}$

$x = \frac{9}{10} \times \frac{10}{9} x = \frac{9}{10} \times \frac{5}{6}$

$x = \frac{3}{2} \times \frac{1}{2}$

$x = \frac{3}{4}$

Проверка:

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$- \frac{10}{9} \times \frac{3}{4} = \frac{5}{6}$

$\frac{5}{6} = \frac{5}{6}$

Answer 2

$- 1 \frac{1}{9} x = \frac{5}{6} \\ x = \frac{5}{6} \div ( - 1 \frac{1}{9} ) \\ x = - \frac{5 \times 9}{6 \times 10} \\ x = - \frac{1 \times 3}{2 \times 2} \\ x = - \frac{3}{4} \\ x = - 0.75$

Answer 3

To solve the equation "-1 + 1/9x = 5/6", we'll follow these steps:

Step 1: Get rid of the fraction by multiplying both sides of the equation by the common denominator, which is 9 * 6 = 54.

54 * (-1) + 54 * (1/9x) = 54 * (5/6)

Simplifying:

-54 + 6x = 45

Step 2: Solve for x by isolating the variable.

Add 54 to both sides of the equation:

-54 + 54 + 6x = 45 + 54

6x = 99

Step 3: Divide both sides by 6 to solve for x:

(6x)/6 = 99/6

x = 16.5

Therefore, the solution to the equation "-1 + 1/9x = 5/6" is x = 16.5.