First, express the mixed numbers as simple fractions:
[tex]4\frac{1}{2}=\frac{(4\cdot2+1)}{2}=\frac{9}{2}[/tex][tex]1\frac{3}{4}=\frac{(1\cdot4+3)}{4}=\frac{7}{4}[/tex]
Now, add the fractions:
[tex]\frac{9}{2}+\frac{7}{4}[/tex]
Multiply the first fraction by 2/2 to have equal denominators
[tex]\frac{18}{4}+\frac{7}{4}=\frac{25}{4}[/tex]
