Question

1/3x=2 2/9 решить по действиям сделать проверку и записать ответ.

Answer 1

Ответ:

х = 6 2/3

Пошаговое объяснение:

1/3x = 2 2/9

1. 1/3х = 20/9

2. х = 20/9 : 1/3

3. х = 20/9 * 3/1

4. х = 20*3/9 = 20/3 = 6 2/3

Проверим:

1/3 * 6 2/3 = 2 2/9

1/3 * 20/3 = 2 2/9

1*20 / 3*3 = 2 2/9

20/9 = 2 2/9

2 2/9 = 2 2/9

Answer 2

To solve the equation (1/3)x = 2(2/9), we need to isolate x on one side of the equation. Here's how you can solve it step by step:

1. Simplify the equation on the right side: 2(2/9) = 4/9.

2. Rewrite the equation: (1/3)x = 4/9.

3. To eliminate the fraction on the left side, multiply both sides of the equation by the reciprocal of 1/3, which is 3/1 or simply 3.

   (1/3)x * 3 = (4/9) * 3.

   Simplifying further: (1/3) * 3 = 1, so the equation becomes:

   x = (4/9) * 3.

4. Multiply the fractions on the right side: (4/9) * 3 = 12/9.

5. Simplify the fraction: 12/9 can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 3. The simplified fraction is 4/3.

Therefore, the solution to the equation (1/3)x = 2(2/9) is x = 4/3.

To verify the solution, substitute x = 4/3 back into the original equation:

(1/3)(4/3) = 2(2/9).

On the left side: (1/3)(4/3) = 4/9.

On the right side: 2(2/9) = (2/1)(2/9) = 4/9.

Both sides of the equation yield the same result, confirming that x = 4/3 is indeed the solution.

Therefore, the solution to the equation (1/3)x = 2(2/9) is x = 4/3.