Answer
The answer is -2/3 (OPTION A)
Problem Statement
The question asks us which number would produce a rational number when added to 1/5.
Method
To solve this question, there are a couple of things to know:
1 Whenever we add a rational number to another rational number, we get another rational number. Rational numbers are positive and negative whole numbers; and positive and negative fractions.
2. Whenever we add an irrational number like pi to another irrational number, the result is irrational
3. Whenever we add an irrational number to a rational number, the result is an irrational number.
Implementation
The number we are given is 1/5, which is a fraction and therefore, a rational number. This means that to have a result of a rational number, then we need to add 1/5 by another rational number.
The only option that is rational is -2/3
Final Answer
The answer is -2/3 (OPTION A)