Find six rational numbers between 3 and 4.

By Shivank Goel|Updated : August 3rd, 2022

The six rational numbers between 3 and 4 are 22/7, 23/7, 24/7, 25/7, 26/7, and 27/7. Between two numbers, identify the rational number. A category of real numbers known as rational numbers have the form of p/q, where q is not equal to 0. A rational number is any fraction with a non-zero denominator.

Let x represent a logically sound disparity:

Be that as it may, let x be a rational number such that x is less than 1/sixth of the difference between the upper and lower limits.

x < ⅙ . (4 - 3)

x < ⅙ . 1

x < ⅙

Say x = 1/7

We can infer that the sum of two rational numbers is a rational number from the property of rational numbers.

So we can say the rational in between 3 and 4 are of form 3 + n 1/7 where

n = 1, 2, …. 6

the rational numbers are 3 + 1/7, 3 + 2/7, 3 + 3/7, 3 + 4/7, 3 + 5/7, 3 + 6/7

= 22/7, 23/7, 24/7, 25/7, 26/7, 27/7

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Properties of Rational Numbers

If we multiply, add, or subtract any two rational numbers, the outcome is always a rational number.
If we use the same factor to divide or multiply the numerator and denominator, the result is still a rational number.
A rational number itself is what is obtained if we add zero to it.
The operations of addition, subtraction, and multiplication on rational numbers are closed.

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