First, we set up or problem.
7 5/6+5 1/9
Next, we turn both fractions into improper fractions.
To turn it into an improper fraction, we multiply the whole number by the denominator, then add the numerator.
7 5/6=47/6
5 1/9=46/9.
Let's set up our equation with our current fractions.
47/6+46/9
Next, we find the LCD.
LCD=Least Common Multiple
The least common multiple is 18.
6×3=18 and 9×2=18
Since we multiplied both the denominators by a certain number, we multiply the numerators by the same one.
47×3=141, making our fraction look like this;
141/18
46×2=92, making our second fraction look like this;
92/18.
Next, we add both fractions together.
141/18+92/18=233/18
Since it's an improper fraction, let's turn it into a mixed fraction.
233/18=12 17/18
Your final answer is 12/17
Have a wonderful day! :D