ANSWER
[tex] \frac{237}{10} \: or \: 23 \frac{7}{10} [/tex]
EXPLANATION
We want to simplify:
[tex]\frac{23}{5} + \frac{37}{5} + \frac{117}{10} [/tex]
The LCM of the denominators is 10.
We collect LCD to obtain.
[tex] \frac{23 \times 2 + 37 \times 2 + 117}{10} [/tex]
Carry out the multiplication in the numerator to get,
[tex]\frac{46 +74 + 117}{10} [/tex]
Add the numerator to get:
[tex] \frac{237}{10} = 23 \frac{7}{10} [/tex]