We have a sum of mixed numbers.
To add them, we can separate the fractional part from the whole part and add the fractional part as normal fractions (looking for a common denominator).
Lastly, we see if we can convert the sum of the pure fractions into a mixed number, if it is greater than 1.
We can do this with this sum as:
[tex]\begin{gathered} (4+\frac{1}{2})+(1+\frac{3}{5}) \\ 4+1+\frac{1}{2}+\frac{3}{5} \\ 5+\frac{1\cdot5+3\cdot2}{2\cdot5} \\ 5+\frac{5+6}{10} \\ 5+\frac{11}{10} \\ 5+(1+\frac{1}{10}) \\ 6+\frac{1}{10} \end{gathered}[/tex]Answer: 6 1/10
