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Find Five Rational Numbers Between 1 and 2

Last Updated : 06 May, 2024
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There are different ways of finding a rational number between any two numbers but the easiest way is to take the average To find the rational number between two numbers, we can calculate the average of the numbers. The average obtained between the numbers is the number that lies between those numbers.

Average of 1 and 2 is 1.5 which is a rational number between 1 and 2. Now, we find the Average of 1.5 and 2 is 1.75. The average of 1.75 and 2 is 1.875. The average of 1.875 and 2 is 1.9375. The average of 1.9375 and 2 is 1.96875.

So, the 5 rational number between 1 and 2 are 1.5, 1.75, 1.875, 1.9375 and 1.96875

Before finding rational numbers between 1 and 2, we first know what are rational numbers.

What are Rational Numbers?

A number that can be expressed in the form ‘p/q’, where ‘p’ and ‘q’ are integers, and ‘q’ is not equal to zero is called a Rational Number. A rational number is a sort of real number that has the form p/q where q≠0 in mathematics. We may also classify any fraction as a rational number if the denominator and numerator are both integers and the denominator is not equal to zero. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal.

It can be expressed as p/q, where q ≠0

For example, 2/10 is a rational number because both 2 and 10 are integers, and 10 is not zero, so it qualifies as a rational number.

Five Rational Numbers Between 1 and 2

To find five rational numbers between 1 and 2, we can utilize a method based on averages. By taking the average of consecutive numbers within the given range, we can identify rational numbers that lie between 1 and 2.

Steps to Find Five Rational Numbers Between 1 and 2

The below 3 steps should be followed to find 5 rational numbers between 1 and 2:

Step-by-Step Approach:

Step 1: Start with Endpoints 1 and 2

Step 2: Calculate the Average of 1 and 2

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

Step 3: Repeat Process

Average of 1.5 and 2: (1.5 + 2) / 2 = 5/3 ≈ 1.667

Average of 5/3 and 2: (5/3 + 2) / 2 = 7/4 = 1.75

Average of 7/4 and 2: (7/4 + 2) / 2 = 9/5 = 1.8

Average of 9/5 and 2: (9/5 + 2) / 2 = 11/6 ≈ 1.833

So, by following this method, we have identified the five rational numbers between 1 and 2 that is 3/2, 5/3, 7/4, 9/5, and 11/6.

People Also Read:

Practice Problems on Finding Rational Numbers between Two Numbers

1. Find 5 rational numbers between 2 and 3.

2. Find 5 rational numbers between -3 and -2.

3. Find 5 rational numbers between 0.5 and 0.6.

4. Find 5 rational numbers between -2 and 5.


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