Question

8.38 + (-х) = - 6 4/5Х=Ответ в дес. Дроби​

Answer 1

Ответ:

х = 15,18

Пошаговое объяснение:

8.38 + (-х) = - 6 4/5

8.38 - х = - 6.8

-х = -6,8 - 8,38

-х = -15,18

х = 15,18

Answer 2

To solve the equation 8.38 + (-x) = -6 4/5, we need to isolate the variable x. Let's proceed step by step:

First, let's convert the mixed number -6 4/5 into an improper fraction. To do that, we multiply the whole number (-6) by the denominator (5) and then add the numerator (4). The denominator remains the same.

-6 * 5 = -30 -30 + 4 = -26

So, -6 4/5 can be written as -26/5.

Now, let's substitute this value back into the equation:

8.38 + (-x) = -26/5

Next, let's isolate the term with x. We can do this by subtracting 8.38 from both sides of the equation:

8.38 - 8.38 + (-x) = -26/5 - 8.38

This simplifies to:

(-x) = -26/5 - 8.38

To simplify the right side, we need to find a common denominator for -26/5 and 8.38, which is 5.

-26/5 can be written as -26 * (1/5) = -26/5, and 8.38 can be written as 8.38 * (5/5) = 41.9/5.

Now we can rewrite the equation:

(-x) = (-26/5) - (41.9/5)

To subtract fractions, we need a common denominator, which is 5:

(-x) = (-26 - 41.9) / 5

Simplifying the numerator:

(-x) = (-67.9) / 5

Finally, we can solve for x by multiplying both sides of the equation by -1:

x = 67.9 / 5

To express the answer as a decimal fraction, we divide 67.9 by 5:

x ≈ 13.58

Therefore, the solution to the equation 8.38 + (-x) = -6 4/5, in decimal fraction form, is x ≈ 13.58.