Question

3(2 5/9- х)+2 7/18=1 2/9​

Answer 1

Ответ:

x=2 17/18

Пошаговое объяснение:

3(2 5/9-x)+2 7/18=1 2/9

3(23/9-x)+43/18=11/9

23/3-3x+43/18=11/9

181/18-3x=11/9

-3x=11/9-181/18

-3x=53/6

x=53/18

x=2 17/18

Надеюсь помог

Поставьте лайк пожалуйста

Answer 2

To solve the equation 3(2 5/9 - x) + 2 7/18 = 1 2/9, you can follow these steps:

Step 1: Convert all the mixed numbers into improper fractions. 2 5/9 = (9 * 2 + 5)/9 = 23/9 1 2/9 = (9 * 1 + 2)/9 = 11/9

So, your equation becomes: 3(23/9 - x) + 2 7/18 = 11/9

Step 2: Distribute the 3 on the left side of the equation. 3 * 23/9 - 3x + 2 7/18 = 11/9

Step 3: Subtract 2 7/18 from both sides of the equation. 3 * 23/9 - 3x = 11/9 - 2 7/18

Step 4: Convert 2 7/18 to an improper fraction. 2 7/18 = (18 * 2 + 7)/18 = 43/18

Now, the equation is: 3 * 23/9 - 3x = 11/9 - 43/18

Step 5: Find a common denominator for the right side. The common denominator is 18, so we need to adjust 11/9 to have a denominator of 18. Multiply both the numerator and denominator by 2: (11/9) * (2/2) = 22/18

Now, the equation is: 3 * 23/9 - 3x = 22/18 - 43/18

Step 6: Subtract the fractions on the right side of the equation. 3 * 23/9 - 3x = (22 - 43)/18

Simplify the fractions: 69/9 - 3x = -21/18

Step 7: Further simplify the equation. 69/9 can be reduced by dividing both the numerator and denominator by 3: (69/9) / 3 = (23/3)

Now, the equation is: 23/3 - 3x = -21/18

Step 8: Find a common denominator for the right side. The common denominator is 18, so we need to adjust -21/18 to have a denominator of 18. Multiply both the numerator and denominator by -1: (-21/18) * (-1/1) = 21/18

Now, the equation is: 23/3 - 3x = 21/18

Step 9: Subtract the fractions on the right side of the equation. 23/3 - 3x = (21 - 23)/18

Simplify the fractions: 23/3 - 3x = -2/18

Step 10: Further simplify the equation. -2/18 can be reduced by dividing both the numerator and denominator by 2: (-2/18) / 2 = -1/9

Now, the equation is: 23/3 - 3x = -1/9

Step 11: Solve for x by isolating it on one side of the equation. Subtract 23/3 from both sides of the equation: -3x = -1/9 - 23/3

Step 12: Find a common denominator for the right side. The common denominator is 9, so we need to adjust -23/3 to have a denominator of 9. Multiply both the numerator and denominator by 3: (-23/3) * (3/1) = -69/9

Now, the equation is: -3x = -1/9 - 69/9

Step 13: Subtract the fractions on the right side of the equation. -3x = (-1 - 69)/9

Simplify the fractions: -3x = -70/9

Step 14: Solve for x by dividing both sides by -3. x = (-70/9) / (-3/1)

When you divide by a fraction, you can multiply by its reciprocal: x = (-70/9) * (1/-3)

x = (70/9) * (1/3)

x = 70/27

So, the solution to the equation is x = 70/27.