we have
7 3/4 + 1 5/6
step 1
Convert mixed number to an improper fraction
7 3/4=7+3/4=31/4
Remember taht
If you multiply 31/4 by (1.5/1.5) you obtain an equivalent fraction
so
(31/4)(1.5/1.5)=46.5/6
multiply by 10/10
465/60
1 5/6=1+5/6=11/6
multiply by 10/10
(11/6)(10/10)=110/60
step 2
Adds the fractions
465/60+110/60=575/60
simplify
Convert to mixed number
575/60=540/60+35/60=9+35/60
simplify the fraction 35/60
35/60=7/12
so
we have
9+7/12=9 7/12
the answer is 9 7/12