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]