Question

(х - 1/3) - 5/12= 2/15​

Answer 1

Пошаговое объяснение:

на картинке более понятное обьяснение

Answer 2

To solve the equation (x - 1/3) - 5/12 = 2/15, you can follow these steps:

Step 1: Simplify both sides of the equation by combining like terms.

(x - 1/3) - 5/12 = 2/15

First, find a common denominator for the fractions on the left side. The common denominator for 3 and 12 is 12.

(12/12) * (x - 1/3) - (5/12) = 2/15

Now, apply the distributive property to the left side of the equation:

(12/12) * x - (12/12) * (1/3) - 5/12 = 2/15

12/12 is equal to 1, so we can simplify further:

x - (1/4) - 5/12 = 2/15

Step 2: Add 5/12 to both sides of the equation to isolate the variable x.

x - (1/4) - 5/12 + 5/12 = 2/15 + 5/12

x - (1/4) = (2/15) + (5/12)

Step 3: Find a common denominator for the fractions on the right side of the equation, which is 60.

x - (15/60) = (8/60) + (25/60)

Step 4: Add the fractions on the right side of the equation:

x - (15/60) = (8/60) + (25/60) = (8 + 25)/60 = 33/60

Step 5: Simplify the fractions on both sides of the equation:

x - (15/60) = 33/60

To simplify further, you can divide both sides by the greatest common divisor of 15 and 60, which is 15:

(1/4)x = (33/60) / 15

(1/4)x = (33/60) * (1/15)

(1/4)x = 11/60

Step 6: Solve for x by multiplying both sides of the equation by 4 to isolate x:

x = (11/60) * 4

x = 44/60

x = 22/30

x = 11/15

So, the solution to the equation (x - 1/3) - 5/12 = 2/15 is x = 11/15.