Given the expression:
[tex]2+\frac{1}{4}+3+\frac{1}{4}[/tex]we can add first the integers and then the fractions to get the following:
[tex]2+\frac{1}{4}+3+\frac{1}{4}=5+\frac{1}{4}+\frac{1}{4}=5+\frac{2}{4}=5+\frac{1}{2}[/tex]next, we can use the following rule for the addition of fractions:
[tex]\begin{gathered} \frac{a}{b}+\frac{c}{d}=\frac{a\cdot d+b\cdot c}{b\cdot d} \\ b,d\ne0 \end{gathered}[/tex]in this case,we have the following:
[tex]5+\frac{1}{2}=\frac{5}{1}+\frac{1}{2}=\frac{5\cdot2+1\cdot1}{1\cdot2}=\frac{10+1}{2}=\frac{11}{2}[/tex]therefore, the final result is 11/2
