Question

1/4:3/4x-1/2 +2/5=1/2​

Answer 1

Переносим -1/2 и 2/5 вправо с противоположным знаком, и 1/4 : 3/4 = 1/3

1/3х = 1/2 + 1/2 - 2/5

находим общий множитель правой части: 10

1/3х = 6/10 делим обе части на 1/3

х = 18/10

х = 1.8

Answer 2

To solve the equation, follow these steps:

Step 1: Combine like terms Step 2: Isolate the variable on one side of the equation Step 3: Solve for the variable

Let's begin:

1/4 * (3/4x - 1/2) + 2/5 = 1/2

Step 1: Distribute the 1/4 on the left side of the equation:

(1/4) * (3/4x) + (1/4) * (-1/2) + 2/5 = 1/2

Step 2: Combine like terms:

3/16x - 1/8 + 2/5 = 1/2

Step 3: Isolate the variable term (3/16x) on one side by moving all the constant terms to the other side:

3/16x = 1/2 - 2/5 + 1/8

Step 4: Find a common denominator for the fractions on the right side:

Common denominator for 2, 5, and 8 is 40.

3/16x = (20/40) - (16/40) + (5/40) 3/16x = 9/40

Step 5: Now, to isolate x, multiply both sides by the reciprocal of 3/16 (which is 16/3):

x = (9/40) * (16/3) x = 144/120 x = 6/5

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