Question

-2 1/6 + 1/6x=-1 1/3​

Answer 1

-2 1/6 + 1/6x = -1 1/3

1/6x = -1 1/3 + 2 1/6

1/6x = 5/6

x = 5/6 * 6/1

x = 5

Answer 2

To solve the equation, we first need to simplify the expressions and then isolate the variable on one side of the equation. Let's solve it step by step:

Given equation: -2 + 1/6 + (1/6)x = -1 1/3

Step 1: Combine the integers and fractions on the left side: To add fractions, they need a common denominator. The common denominator for 6 and 3 is 6. So, convert -2 to a fraction with a denominator of 6:

-2 = -12/6

Now, the equation becomes:

(-12/6) + 1/6 + (1/6)x = -4/3

Step 2: Combine the fractions on the left side:

(-12/6) + (1/6) + (1/6)x = -4/3

To combine the fractions, we need a common denominator of 6:

(-12/6) + (1/6) = (-12 + 1)/6 = -11/6

The equation becomes:

(-11/6) + (1/6)x = -4/3

Step 3: Isolate the variable (x) on one side:

Subtract (-11/6) from both sides of the equation to get rid of the constant term on the left side:

(-11/6) + (1/6)x - (-11/6) = -4/3 - (-11/6)

Simplify:

(1/6)x = -4/3 + 11/6

Step 4: Continue isolating the variable (x):

To add -4/3 and 11/6, we need a common denominator, which is 6:

(1/6)x = (-8/6) + (11/6)

(1/6)x = 3/6

Step 5: Solve for x:

To solve for x, we'll multiply both sides of the equation by 6 (to eliminate the fraction on the left side):

6 * ((1/6)x) = 6 * (3/6)

The (1/6) on the left side cancels out:

x = 3/6

Step 6: Simplify the fraction:

x = 1/2

So, the solution to the equation is x = 1/2.