Answer:
4 1/2.
Explanation:
To find the other rational number when the sum of two rational numbers is 7 2/3 and one of them is 3 1/6, we can subtract the given number from the sum.
The given sum is 7 2/3, which can be written as an improper fraction: (7*3 + 2)/3 = 23/3.
The given rational number is 3 1/6, which can be written as an improper fraction: (3*6 + 1)/6 = 19/6.
To find the other rational number, we subtract the given number from the sum: 23/3 - 19/6.
To subtract fractions, we need to find a common denominator. The least common multiple of 3 and 6 is 6.
Converting both fractions to have a denominator of 6, we get: (23/3)*(2/2) - (19/6) = 46/6 - 19/6 = 27/6.
Simplifying the fraction 27/6, we get 4 3/6, which can be further simplified to 4 1/2.