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

Answer:

The answer is option B : 0.44

Step-by-step explanation:

When you add fractions, the answer is always rational.

A rational number is in the form of $\frac{p}{q}$, where $q\neq 0$ .

We also know ,

Rational number + irrational number = irrational number

Now $\sqrt{6}$ is an irrational number and when we will add it to $\frac{1}{4}$ , 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 $\frac{44}{100}$ or $\frac{22}{50}$ or $\frac{11}{25}$

When we add $\frac{1}{4}$ to any of the fraction, it will always produce a fraction or rational number.

$\frac{1}{4}+\frac{11}{25}$ = $\frac{25+44}{100} =\frac{69}{100}$ which is a rational number.