From the problem, we have :
[tex]-5\frac{1}{5}+3.7+5\frac{1}{10}[/tex]We have two mixed fractions and 1 decimal number.
Convert the fractions into decimals.
For -5 1/5
1/5 is equivalent to 0.2
So this will become -5.2
For 5 1/10
1/10 is equivalent to 0.10
So this will become 5.1
Rewriting the terms :
[tex]\begin{gathered} -5\frac{1}{5}+3.7+5\frac{1}{10} \\ \Rightarrow-5.2+3.7+5.1 \end{gathered}[/tex]We can now add and subtract the decimals.
[tex]\begin{gathered} -5.2+(3.7+5.1)_{} \\ \Rightarrow-5.2+(8.8) \\ \Rightarrow3.6 \end{gathered}[/tex]The answer is 3.6