Question

What number produces a rational number when added to 1/3

Answer 1

1/2, 4/3, 1/2, ... any rational number

Explanation:

The field of rational numbers is closed under the sum operation. Therefore, if a and b are rational numbers, the number (a + b) is also a rational number.

Consider the rational number a = 1/3, if we add it to any other rational number, the result of that sum will also be a rational number.

Examples:

1/3 + 1/2 = 5/6

1/3 + 4/3 = 5/6

1/3 + 1/6 = 1/2

Answer 2

Any rational number

Explanation:

A rational number is a number obtained by dividing two integers.

Thus, 1/3 is a rational number.

You can add any rational number to 1/3 and the sum will be a rational number.