[tex]\huge\boxed{\frac{7}{4}}[/tex]
First, turn [tex]1[/tex] into an improper fraction with a denominator of 4, which matches [tex]\frac{3}{4}[/tex].
[tex]\displaystyle 1 \frac{3}{4} = \frac{4}{4} + \frac{3}{4}[/tex]
Now, just add the numerators.
[tex]\displaystyle \frac{4}{4} + \frac{3}{4} = \boxed{\frac{7}{4}}[/tex]
