Answer:
[tex]\dfrac{1}{4}[/tex]
Step-by-step explanation:
We can execute the addition of fractions:
[tex]-\dfrac{1}{2} + \dfrac{3}{4}[/tex]
by finding a common denominator.
First, we can rearrange the expression to make it subtraction:
[tex]\dfrac{3}{4}-\dfrac{1}{2}[/tex]
Next, we can find a common denominator by multiplying the second term by 2/2:
[tex]\dfrac{3}{4}-\dfrac{1}{2}\!\left(\dfrac{2}{2}\right)[/tex]
[tex]=\dfrac{3}{4} - \dfrac{2}{4}[/tex]
Now, since both terms share the same denominator, we can combine the numerators:
[tex]\dfrac{3-2}{4}[/tex]
Finally, we can execute the subtraction in the numerator:
[tex]\boxed{\dfrac{1}{4}}[/tex]
