Question

which number produces a rational number when added to 1/5

Answer 1

-2/3 produces a rational number.

1/5+(-2/3)=
3/15-10/15=
-7/15 (which is rational) 

Answer 2

Answer:

We can add any rational number to 1/5 to get a rational number.

Step-by-step explanation:

Given: We have given a rational number 1/5.

To find: We need to find a number which is added to 1/5 gives a rational number.

Solution: We know that,

Rational number + Rational number = Rational Number

Rational number + Irrational Number = Irrational Number

Irrational Number  + Irrational Number  = Irrational Number.

As we know that given fraction 1/5 is a rational number.

So, when we add any rational number to 1/5 would give a rational number.

Let us we take an example,

$\frac{1}{5} +\frac{2}{3} = \frac{3+10}{15}= \frac{13}{15}$

We can see in above example that a rational number 2/3 is added to 1/5 gave us 13/15 which is also a rational number.

Therefore, we can add any rational number to 1/5 to get a rational number.