Question

3 7/18+ ( x-2 4/9) = 8 5 /18

Answer 1

Ответ:

6 8/9

Пошаговое объяснение:

3 7/18+(х-2 4/9) =8 5/18

х-2 4/9=8 5/18-3 7/18

х-2 4/9=4 8/18

х=4 8/18+2 4/9

х=4 8/18+2 8/18

х=6 16/18

х=6 8/9

Отметь как лучший ответ пожалуйста умоляю

Answer 2

To solve the equation:

3 7/18 + (x - 2 4/9) = 8 5/18

First, let's simplify both sides of the equation step by step.

1. Start with the left side of the equation: 3 7/18 + (x - 2 4/9)

2. Convert the mixed numbers to improper fractions: 3 7/18 = (3 * 18 + 7) / 18 = 61/18 2 4/9 = (2 * 9 + 4) / 9 = 22/9

So, the equation becomes: 61/18 + (x - 22/9) = 8 5/18

3. Convert the whole number on the right side to an improper fraction: 8 5/18 = (8 * 18 + 5) / 18 = 149/18

Now, the equation is: 61/18 + (x - 22/9) = 149/18

4. To eliminate the fraction in the equation, multiply both sides by the least common multiple (LCM) of the denominators, which is 18: 18 * (61/18) + 18 * (x - 22/9) = 18 * (149/18)

This simplifies to: 61 + 18(x - 22/9) = 149

5. Distribute 18 on the left side: 61 + 18x - 36/9 = 149

6. Simplify the fractions: 61 + 18x - 4 = 149

7. Now, isolate the variable (x): 18x = 149 - 61 + 4 18x = 92

8. Divide by 18 to solve for x: x = 92/18

9. Simplify the fraction: x = 46/9

So, the solution to the equation is: x = 46/9