Question

Which number produces a rational number when added to 1/4?

Answer 1

Since 0.25 is a rational number, you need to add another rational number. Any rational number will do.

Answer 2

The answer is option B : 0.44

Explanation:

When you add fractions, the answer is always rational.

A rational number is in the form of
`(p)/(q)`, where
`q\\eq 0` .

We also know ,

Rational number + irrational number = irrational number

Now
`√(6)` is an irrational number and when we will add it to
`(1)/(4)` , it will produce irrational number.

Similarly,
`\pi` and 1.4142135.. will also produce irrational numbers.

So, we have been left with 0.44, which is the answer.

0.44 can be written as
`(44)/(100)` or
`(22)/(50)` or
`(11)/(25)`

When we add
`(1)/(4)` to any of the fraction, it will always produce a fraction or rational number.

`(1)/(4)+(11)/(25)` =
`(25+44)/(100) =(69)/(100)` which is a rational number.