Question

( х - 1/4 ) : 1/3 = 5/6

Answer 1

(х - 1/4) : 1/3 = 5/6
х - 1/4 = 5/6 * 1/3
х - 1/4 = 5/18
х = 5/18 + 1/4
х = 10/36 + 9/36 
х = 19/36
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Проверка:
(19/36 - 1/4) : 1/3 = 5/6
(19/36 - 9/36) : 1/3 = 5/6 
10/36 * 3/1 = 5/6
30/36 = 5/6 
5/6 = 5/6

Answer 2

(x - 1/4) : 1/3 = 5/6
(x - 1/4) * 3 = 5"6
3x - 3/4 = 5/6
3x = 5/6 + 3/4
3x = 19/12
x = 19/36

Answer 3

To solve the equation, let's simplify the expression step by step:

(х - 1/4) : 1/3 = 5/6

Step 1: Convert the division by 1/3 to multiplication by its reciprocal (which is 3/1): (х - 1/4) * 3/1 = 5/6

Step 2: Distribute the 3/1 to the terms inside the parentheses: 3/1 * х - 3/1 * (1/4) = 5/6

Step 3: Simplify the terms: 3х - 3/4 = 5/6

Step 4: Get rid of the fraction by multiplying both sides of the equation by the least common multiple (LCM) of the denominators (4 and 6, which is 12):

12 * (3х - 3/4) = 12 * (5/6) 12 * 3х - 12 * (3/4) = 12 * (5/6)

Step 5: Simplify further: 36х - 9 = 10

Step 6: Isolate the variable х by moving the constant term to the other side of the equation: 36х = 10 + 9 36х = 19

Step 7: Finally, solve for х by dividing both sides by 36: х = 19/36

So the value of х that satisfies the equation is х = 19/36.