# Rational Number Calculator

Rational Number Calculator is an online tool that finds the rational number between two given rational numbers

## What Is Rational Number Calculator?

A **Rational Number Calculator** is an online tool that finds the rational number between two given rational numbers. A rational number is of the form **'p/q', **where 'p' is an integer and 'q' is a non zero number. Online rational number calculator helps you to calculate the rational number between two numbers within a few seconds.

### Rational Number Calculator

## How to Use the Rational Number Calculator?

Follow these steps to use the calculator and find the midpoint.

**Step 1:**Enter two rational numbers in the respective input boxes.**Step 2:**Click on "**Find**" to find the midpoint.**Step 3:**Click on "**Reset**" to clear the fields and enter the new values.

## How to Calculate a Rational Number between two Rational Numbers?

If 'a' and 'b' are the two rational numbers such that "a < b", then the rational number between 'a' and 'b' is calculated by using the formula: **1/2 (a + b)**

Let's learn through an example on how to find a rational number between two rational numbers.

**Solved Examples on Rational Number Calculator**

**Example 1:**

Find the rational numbers between the two rational numbers 4/5 and 3/2.

**Solution:**

Here, a = 4/5 and b = 3/2

Now use the formula 1/2 (a + b) to calculate the rational numbers between 4/5 and 3/2.

Required Number = 1/2 (4/5_{ }+ 3/2)

= 1/2 ((8 + 15)/10)

= 1/2 ((23)/10)

= 23/20

Therefore, the rational number between 4/5 and 3/2 is 23/20.

**Example 2:**

Find the rational numbers between the two rational numbers 3/5 and 5/2.

**Solution:**

Here, a = 3/5 and b = 5/2

Now use the formula 1/2 (a + b) to calculate the rational numbers between 3/5 and 5/2.

Required Number = 1/2 (3/5_{ }+ 5/2)

= 1/2 ((6 + 25)/10)

= 1/2 ((31)/10)

= 31/20

Therefore, the rational number between 3/5 and 5/2 is 31/20.

Now, try to use the calculator and calculate a rational number between two rational numbers given below.

- 3/5 and 6/5
- 2/3 and 4/3

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