Question

2/3 - ( 5/6 - x) = 1/18

Answer 1

Ответ:

Х = 2/9

Пошаговое объяснение:

Раскрываем скобки: 2/3 - 5/6 + Х = 1/18

Приводим к общему знаменателю: 12/18 - 15/18 + Х = 1/18

Переносим: Х = 1/18 - 12/18 + 15/18

Решаем: Х = 4/18 = 2/9

Answer 2

To solve for the variable x in the equation $\frac{2}{3} - \left( \frac{5}{6} - x \right) = \frac{1}{18}$, follow these steps:

Step 1: Distribute the negative sign within the parentheses: $\frac{2}{3} - \frac{5}{6} + x = \frac{1}{18}$

Step 2: Find a common denominator for the fractions. The least common multiple of 3 and 6 is 6. $\frac{4}{6} - \frac{5}{6} + x = \frac{1}{18}$

Step 3: Combine the fractions on the left side of the equation: $-\frac{1}{6} + x = \frac{1}{18}$

Step 4: Add $\frac{1}{6}$ to both sides of the equation to isolate $x$: $x = \frac{1}{18} + \frac{1}{6}$

Step 5: Convert both fractions to have a common denominator of 18, then add them: $x = \frac{1}{18} + \frac{3}{18} = \frac{4}{18}$

Step 6: Simplify the fraction: $x = \frac{2}{9}$

So, the solution to the equation is $x = \frac{2}{9}$.