Respuesta :

ktreyb
Turn the 1/4 into a base of 12 by multiplying both the numerator and denominator by 3. 

1/4 = 3/12. 

Plug that into the equation. 

11/12 - x = 3/12

Subtract 11/12 from both sides to get - x by itself.

- x = 3/12 - 11/12 

This is the same as:

- x = (3 - 11) / 12

- x = - 8 / 12

Multiply both sides by - 1 to isolate variable X:

x = (- 8 / 12) * (- 1)
x = 8 / 12
[tex] \frac{11}{12} -x = \frac{1}{4} [/tex]

First, I would convert 1/4 into 3/12 to make solving easier:

[tex]\frac{11}{12} -x = \frac{3}{12}[/tex]

Next, subtract 11/12 from each side to isolate the variable:

[tex] -x = - \frac{8}{12} [/tex]

Divide each side by -1:

[tex] x = \frac{8}{12} [/tex]

Finally, simplify 8/12 to get your answer:

[tex] x = \frac{2}{3}