Answer:
12 7/12
Explanation:
To add these two mixed numbers, you first need to convert them to improper fractions, then perform the addition, and finally simplify the result if necessary.
4 5/6 can be converted to an improper fraction as follows:
4 5/6 = (4 * 6 + 5) / 6 = 29 / 6
7 3/4 can be converted to an improper fraction as follows:
7 3/4 = (7 * 4 + 3) / 4 = 31 / 4
Now, add the two improper fractions:
29 / 6 + 31 / 4
To add fractions with different denominators, you need to find a common denominator. The least common multiple of 6 and 4 is 12.
Now, convert both fractions to have a denominator of 12:
(29/6) * (2/2) = 58/12
(31/4) * (3/3) = 93/12
Now you can add the fractions:
58/12 + 93/12 = 151/12
This fraction can be simplified:
151 ÷ 12 = 12 with a remainder of 7
So, the final result is:
12 7/12