# Find five rational numbers between ⅗ and ⅘

By BYJU'S Exam Prep

Updated on: September 25th, 2023

Five rational numbers between ⅗ and ⅘ are  19/30, 20/30, 21/30, 22/30, and 23/30. Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. It means that rational numbers include whole numbers, rational numbers, decimals, and integers. Rational numbers are real numbers with a finite decimal form that is recurring in nature.

Rational numbers can be found as fractions or decimal numbers that either terminate or repeat. They can also result from arithmetic operations on rational numbers, ratios, and proportions.

Table of content

## Rational Numbers

A rational number is an integer where the denominator is not equal to zero. To identify a rational number one must remember that if any fraction after division gives output in decimal form then it can be identified as a rational number.

Example of Rational Numbers-

• 10/2
• 50/10
• 26/70
• 3/4

### Types Of Rational Numbers

Rational numbers are divided into two parts. The major property that helps to differentiate between both types is positive and negative integers. Standard form comprises of only positive integers whereas in the latter the integers can be either positive or negative.

• Standard Form Rational Numbers
• Positive and Negative Rational Numbers

Solution

Use 6 as a multiplier

Multiply and divide the numerator and denominator by 6

3/5 = (3 × 6) ÷ (5 × 6) = 18/30

4/5 = (4 × 6) ÷ (5 × 6) = 24/30

18/30 and 24/30 are equivalent fractions to ⅗ and ⅘

Therefore, when asked to find five rational numbers between ⅗ and ⅘ then, the answer will be that the five rational numbers between ⅗ and ⅘ are 19/30, 20/30, 21/30, 22/30, and 23/30.

Summary

## Find five rational numbers between ⅗ and ⅘

A rational number is any number that can be written as a fraction.The five rational numbers between ⅗ and ⅘ are 19/30, 20/30, 21/30, 22/30, and 23/30. It’s important to note that integers and whole numbers are also considered rational numbers, as they can be expressed as fractions with a denominator of 1.

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