How can we find a rational number between 4 and 6?

A rational number is a number that can be defined in the form of p/q where p and q are integers and q ≠ 0. For example, 0.75 is a rational number since it can be represented as a fraction, 0.75 =  3⁄4. 90/12007 is a rational fraction.

The number 12 can alternatively be written as 12/1. It’s a rational number once more.

How can we find a rational number between 4 and 6?

Solution:

To find a rational number between 4 and 6, we can use the fact that any number in between two numbers can be expressed as their average. Here’s how we can do it:

Find the average of 4 and 6:

• The average of 4 and 6 is
• (4 + 6) / 2 = 10 / 2 = 5

Since 5 is already a rational number (it can be expressed as 5 / 1 ), we can use it as the rational number between 4 and 6.

By averaging the given numbers, we can determine that 5 is a rational number that falls between 4 and 6.

Similar Questions

Problem 1: What is the rational number between 5 and 6?

Solution:

Here, the given terms are 5 and 6, so the mean is:

m = (5 + 6) / 2 = 11 / 2 = 5.5

Problem 2: What is the rational number between 1 and 2?

Solution:

Here, the given terms are 1 and 2, so the mean is:

m = (1 + 2) / 2 = 3 / 2 = 1.5