When comparing quantities, we usually utilise fractions and percentages. Percentage or percent refers to fractions of a whole, whereas percent relates to how much of the whole thing is present and is easier to remember than a fraction. Therefore, one must know how to convert a given fraction to percent for one’s ease of understanding.

Furthermore, rational numbers are an important notion related to fractions. A rational number is a sort of real number that has the formula p/q where q is not equal to zero. A rational number is any fraction that has a non-zero denominator.

1/2, 1/5, 3/4, and other like numbers are examples of rational numbers.

The number “0” is also a rational number since it may be represented in a variety of ways, including 0/1, 0/2, 0/3, and so on. However, 1/0, 2/0, 3/0, and so on are not rational because they give us unlimited values.

Let’s learn about fractions, their conversion to percent and the Difference Between Fraction and Rational Numbers in detail.

## What is a Fraction?

A fraction is a number of equal parts or a portion of a total quantity. In other words, it reflects how many parts of a specific size were split by the total amount. A simple fraction of 1/2 has a numerator and a denominator. The denominator is written below the line, whereas the numerator is written above it.

The numerator represents some equal portions of a whole, whereas the denominator reflects the number of pieces that make up a whole, which cannot be 0. Think about the fraction 3/4. In this case, the numerator is 3 (three equal parts) and the denominator is 4 (four parts constitute a whole).

## What is Percent?

The term percent refers to a ratio or a quantity stated as a fraction of 100. The percentage symbol (%) is used to denote it. Here’s an example to help you understand how the percent reflects a fraction of 100. In fractional form, 35% is expressed as 35/100. In class, 50% of the students were male, which indicates that 50 students out of every 100 were male.

## How to Convert Fraction to Percent?

Simply multiply a fraction by 100 and divide the result by 100 to convert it to a percentage. The following examples will show you how to change a fraction into a percentage. The steps listed below will help you convert a fraction into a percentage:

- Convert the fraction into decimal form.
- To get a percent value, multiply the resulting decimal number by 100.

For Example,

Convert 3/5 to a percent.

Solution:

Step 1: Convert the given fraction 3/4 into decimal form

Step 2: 3/5 = 0.6

Step 3: Multiply the decimal number by 100: 0.6 × 100 = 60%

Therefore, the answer is 60%.

## Percentage Formula

A percentage is a figure or ratio with a denominator of 100. The following is the percentage formula:

For example, if we wish to find 20% of 150, it can be achieved as:

(20/ 100) × 150 = 3000/ 100

= 30

Thus, 20% of 150 is 30.

## Difference Between Fraction and Rational Numbers

The following table illustrates some significant distinctions between fractional and rational numbers:

Fraction | Rational Numbers |

Are written in the form of p/q, where p and q are natural numbers. | Are written in the form of p/q, where p and q are integers and q≠0. |

Every fractional number is a rational number. | Not all rational numbers are fractions. |

½,⅔,⅘, and more. | 11/2, 3/-4, -5/6 and more. |

Note: Both fractions and rational numbers are real numbers.