Answer:
4 2/3.
Explanation:
To add 1 11/12 and 2 3/4, we first need to convert the mixed numbers to improper fractions.
1 11/12 can be written as (12/12 + 11/12) which equals 23/12.
Similarly, 2 3/4 can be written as (8/4 + 3/4) which equals 11/4.
Now, we can add the two fractions:
23/12 + 11/4
To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 12 and 4 is 12.
Now, we can rewrite the fractions with the common denominator:
(23/12) + (11/4) = (23/12) + (33/12)
Adding the numerators:
23 + 33 = 56
Keeping the common denominator:
56/12
Now, we can simplify the fraction:
56/12 = 4 8/12
Since 8/12 can be simplified further, we divide the numerator and denominator by their greatest common divisor (GCD), which is 4:
4 8/12 = 4 2/3
Therefore, 1 11/12 + 2 3/4 equals 4 2/3.