The correct option is: A) [tex]\frac{x}{2}+\frac{3}{4}[/tex]
Explanation
The given expression is: [tex]\frac{2x+3}{4}[/tex]
If we split the above whole expression into two different fractions with a common denominator, then we will get......
[tex]\frac{2x}{4}+\frac{3}{4}[/tex]
Now, we can reduce the first fraction by dividing both numerator and denominator by 2. So, the simplified expression will be......
[tex]\frac{2x\div 2}{4\div 2}+ \frac{3}{4}\\ \\ = \frac{x}{2}+\frac{3}{4}[/tex]