Final answer:
The sum is 329/63.
Step-by-step explanation:
To find the sum of 5 2/9 + 6/7, we need to convert both fractions to a common denominator.
The common denominator is 63, which is the product of 9 and 7.
So, we convert 5 2/9 to an improper fraction: 5 2/9 = (5 * 9 + 2)/9 = 47/9.
Next, we convert 6/7 to a fraction with a denominator of 63: 6/7 = (6 * 9)/ (7 * 9) = 54/63.
Now, we can add the two fractions together: 47/9 + 54/63 = (47 * 7 + 54 * 9)/(9 * 63) = 329/63.
Therefore, the sum of 5 2/9 + 6/7 is 329/63.