Question

1 1/2-(5/6x+1/3)=8/9

Answer 1

3/2-5/6x-1/3=8/9
-5/6x=-3/2+1/3+8/9
-5/6x=-27/18+6/18+16/18
-5/6x=-5/18
X=-5/18*-6/5
X=1/3

Answer 2

1 1/2-(5/6x+1/3)=8/9
27 - (15x + 6) = 16
27 - 15x - 6 = 16
21 - 15x = 16
15x = 21-16
15x = 5
x = 5:15
x = 1/3

Answer 3

To solve the equation 1 1/2 - (5/6x + 1/3) = 8/9, we need to simplify the left-hand side by combining the mixed number 1 1/2 into an improper fraction.

1 1/2 = (2*1 + 1)/2 = 3/2

Substituting this value into the equation, we get:

3/2 - (5/6x + 1/3) = 8/9

To isolate the variable x, we first need to combine the fractions on the left-hand side by finding a common denominator, which is 18 in this case:

9/6 - (15/18x + 6/18) = 8/9

Multiplying both sides by 18 to clear the denominators, we get:

27 - 30x - 4 = 16

Simplifying, we have:

-30x = -11

Dividing both sides by -30, we get:

x = 11/30

Therefore, the solution to the equation 1 1/2 - (5/6x + 1/3) = 8/9 is x = 11/30.