Question

3(×-4 1/3)+1 1/6=-3.5 решите уравнение​

Answer 1

Ответ:

2 7/9

Пошаговое объяснение:

3(х-4 1/3)+1 1/6=-3,5

3х-13+1 1/6=-3,5

3х=-3,5+13-1 1/6

3х=8 1/3

х=8 1/3 : 3

х=2 7/9

Answer 2

To solve the equation, let's simplify the expression on the left-hand side step by step:

3(× - 4 1/3) + 1 1/6

First, let's convert the mixed numbers into improper fractions:

4 1/3 = (4 × 3 + 1)/3 = 13/3 1 1/6 = (1 × 6 + 1)/6 = 7/6

Now, substitute these values back into the expression:

3(× - 13/3) + 7/6

Next, distribute the 3 to both terms inside the parentheses:

3 × × - 3 × 13/3 + 7/6

Simplifying further:

3× - 39/3 + 7/6

3× - 13 + 7/6

Now, we need to find a common denominator for the fractions:

3× - 13 + 7/6 = 3× - 78/6 + 7/6

Combining the fractions:

3× - 71/6

To solve the equation 3× - 71/6 = -3.5, we can isolate × by subtracting 71/6 from both sides:

3× - 71/6 = -3.5

3× = -3.5 + 71/6

To add -3.5 and 71/6, we need to find a common denominator:

-3.5 = -21/6

-21/6 + 71/6 = 50/6 = 25/3

Therefore, the equation becomes:

3× = 25/3

Finally, to solve for ×, we divide both sides of the equation by 3:

3×/3 = (25/3)/3

× = 25/9

Therefore, the solution to the equation 3(× - 4 1/3) + 1 1/6 = -3.5 is × = 25/9.