Respuesta :

Answer:

-1/12

Step-by-step explanation:

We are given the following expression and we are to simplify it leaving the answer in the form of an improper fraction:

[tex] \frac {1} {2} + \frac {1} {6} - \frac {3} {4} [/tex]

We will start by adding the first two fractions by taking their LCM and making it a single fraction to simplify the expression further:

[tex] \frac {1} {2} + \frac {1} {6} = \frac {1 + 3} {6} = \frac {4} {6} = \frac {2} {3} [/tex]

Now subtracting [tex] \frac {3} {4} [/tex] from the result obtained above:

[tex]\frac {2} {3}-\frac {3} {4} = \frac{2(4)-3(3)}{12} =\frac{8-9}{12} =-\frac{1}{12}[/tex]