let us first convert the mixed fraction into improper fractions
7[tex] \frac{2}{3} [/tex] =[tex] \frac{23}{3} [/tex]
15 [tex] \frac{5}{4} [/tex]= [tex] \frac{65}{4} [/tex]
adding these two:
[tex] \frac{23}{3} [/tex] + [tex] \frac{65}{4} [/tex]
here we first find lcd of 3 and 4, which is 12
converting both the fractions into lcd form
[tex] \frac{92}{12} [/tex] + [tex] \frac{195}{12} [/tex]
=[tex] \frac{287}{12} [/tex]
Answer = 287/12