Question

2 1/2 :(1/2x+5/12) - 1 5/6 =2/3​

Answer 1

Ответ:      х = 1 1/6 .  

Пошаговое объяснение:

2 1/2 :(1/2x+5/12) - 1 5/6 =2/3​ ;

2 1/2 : (1/2x + 5/12) = 2/3 + 1 5/6 ;

2 1/2 : (1/2x + 5/12) = 2 1/2 ;

1/2x + 5/12 = 2 1/2 : 2 1/2 ;

1/2x + 5/12 = 1 ;

1/2 х = 1 - 5/12 ;

1/2 х = 7/12 ;

      х = 7/12 : 1/2 ;

      х = 1 1/6 .

Answer 2

To solve the equation 2 1/2 - (1/2x + 5/12) - 1 5/6 = 2/3, you can follow these steps:

Step 1: Convert mixed numbers to improper fractions.

2 1/2 = 5/2 1 5/6 = 11/6

So, the equation becomes:

5/2 - (1/2x + 5/12) - 11/6 = 2/3

Step 2: Find a common denominator for the fractions in the equation. In this case, the common denominator is 12.

Step 3: Rewrite each fraction with the common denominator.

(5/2) - ((6/12)x + (5/12)) - (22/12) = 8/12

Step 4: Simplify the fractions.

(5/2) - (1/2x + 5/12) - (22/12) = 8/12

Step 5: Combine like terms. First, distribute the negative sign:

5/2 - 1/2x - 5/12 - 22/12 = 8/12

Now, combine like terms:

(5/2 - 5/12 - 22/12) - 1/2x = 8/12

Step 6: Continue simplifying.

To combine the fractions in the parentheses, find a common denominator, which is 12:

(30/12 - 5/12 - 22/12) - 1/2x = 8/12

Now, combine the fractions:

(30 - 5 - 22) / 12 - 1/2x = 8/12

(3/12) - 1/2x = 8/12

Step 7: Simplify further.

3/12 is equal to 1/4, so:

(1/4) - 1/2x = 8/12

Step 8: Get rid of fractions by multiplying both sides of the equation by 12 (the common denominator) to clear it:

12 * (1/4) - 12 * (1/2x) = 12 * (8/12)

3 - 6x = 8

Step 9: Isolate the variable "x."

Subtract 3 from both sides:

-6x = 8 - 3

-6x = 5

Step 10: Solve for "x" by dividing both sides by -6:

x = 5 / -6

x = -5/6

So, the solution to the equation is x = -5/6.