Question

5 7/18 - (x-2 5/18)=1 11/18​

Answer 1

Ответ:

x=3/2

альтернативная форма

x=1 1/2,x=1,5

Пошаговое объяснение:

Answer 2

To solve the equation 5 7/18 - (x - 2 5/18) = 1 11/18, you'll want to isolate the variable x. Here's how you can do it step by step:

Step 1: Simplify both sides of the equation. 5 7/18 - (x - 2 5/18) = 1 11/18

First, simplify the expression inside the parentheses on the left side by distributing the negative sign: 5 7/18 - x + 2 5/18 = 1 11/18

Step 2: Combine like terms on the left side. To combine the whole numbers and fractions on the left side, you can first add the whole numbers together and then add the fractions: (5 + 2) + (7/18 + 5/18) - x = 1 11/18

7 + (12/18) - x = 1 11/18

Now, simplify the fraction: 7 + 2/3 - x = 1 11/18

Step 3: Get rid of the whole number on the right side. To do this, you can subtract 1 from both sides of the equation: 7 + 2/3 - x - 1 = 1 11/18 - 1

6 + 2/3 - x = 11/18

Step 4: Move the fraction to the right side. Subtract 6 from both sides of the equation to isolate the fraction on the left side: 2/3 - x = 11/18 - 6

2/3 - x = -65/18

Step 5: Now, solve for x by isolating it. To isolate x, you can add x to both sides and then subtract 2/3 from both sides: 2/3 - x + x = -65/18 + 2/3

2/3 = -65/18 + 2/3

Now, subtract -65/18 from 2/3: 2/3 + 65/18 = 2/3 + 65/18

To add these fractions, you need a common denominator, which is 18: (12/18) + (65/18) = (12 + 65)/18

77/18 = 77/18

So, x = 77/18 is the solution to the equation.