Question

(x+0,25)=6 2/3-2 1/6

Answer 1

Ответ:

Пошаговое объяснение:

(x+0,25)=6 2/3-2 1/6

х+0.25=6 4/6-2 1/6

x+0.25=4 1/2

x+0.25=4.5

х=4.5-0.25

х=4.25

Answer 2

Ответ:

4,25

Пошаговое объяснение:

показано на картинке

Answer 3

To solve the equation (x + 0.25) = 6 2/3 - 2 1/6, we need to find the value of x. Let's break down the right-hand side of the equation first:

6 2/3 can be converted to an improper fraction: 6 2/3 = 6 + 2/3 = 18/3 + 2/3 = 20/3

Similarly, 2 1/6 can be converted to an improper fraction: 2 1/6 = 2 + 1/6 = 12/6 + 1/6 = 13/6

Now, the equation becomes: (x + 0.25) = 20/3 - 13/6

To simplify the right-hand side, we need to find a common denominator for 3 and 6, which is 6:

20/3 - 13/6 = (202)/(32) - 13/6 = 40/6 - 13/6 = (40 - 13)/6 = 27/6 = 9/2

Now the equation is: (x + 0.25) = 9/2

To solve for x, we'll isolate x on one side of the equation:

x + 0.25 = 9/2

Subtract 0.25 from both sides to get x by itself:

x = 9/2 - 0.25

To subtract fractions, we need to find a common denominator, which is 2:

x = (9/2) - (1/4)

Now, subtract the fractions:

x = (18/4) - (1/4)

x = (18 - 1) / 4

x = 17/4

The solution for the equation is x = 17/4, which can also be expressed as a mixed number:

x = 4 1/4