Every rational number is a whole number? true or false , also give reason of your answer

Answer: False

A rational number is any number that can be expressed as a fraction. Whereas, a whole number is a positive number without a decimal or fractions.

Every rational number is may or may not be a whole number.

Rational numbers are the numbers that can be written in the form of p/q where q ≠ 0.

Example: 0, 2/5, 4/17, 7/15 …..

Whole numbers are that starts from 0 to infinity. Whole numbers can be written in the form of 0/1, 1/1, 2/1, …

Thus, every whole number is a rational number but every rational number is not a whole number.

Example

Let us consider some rational numbers,

1/4, 2/4, 4/4……..

On simplifying, we get

4/4 = 1

It is a whole number.

On simplifying

2/4 = 0.5

It is not a whole number.

Hence, every rational number is may or may not be a whole number but every whole number is a rational number.

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