# Fraction to Percent Conversion

Fractions and percent are the two terms we generally use in comparing quantities. Percentage or percent refers to the fractions of a whole, while percent is how much of the whole thing and is easier to remember than a fraction.

To understand the concept of fraction and percent, consider that if a class has 38 students - among them 23 are female. Now, what is the percentage of female students? It is 23 out of 38. To simplify: 23/38 = 0.6052631578900001 or about 60%. To know how to convert fractions to percent, you need to know the formula for a fraction to percent conversion. Before that let’s discuss fraction and percent in detail.

## What is a Fraction?

The term fraction acts as a number of equal parts or a part of a whole quantity. In other words, it represents how many parts of a certain size divided the whole quantity. A simple fraction 1/2 consists of a numerator and a denominator. The numerator is written above the line, while the denominator is written below.

The numerator indicates a number of equal parts of a whole, while the denominator represents how many parts consists a whole, which cannot be zero. For example, the fraction 3/4. Here the numerator is 3 – that means three equal parts and the denominator is 4 - indicating four parts make up a whole.

## What is Percent?

The term percent is a ratio or a number that is expressed as a fraction of 100. It is denoted using the percentage sign %. To understand the concept of how the percent represents the fraction of 100 here is an example. 35% can be written in fraction as 35/100. In class, 50% of the students were male, which means out of every 100 students 50 were male.

## Percentage Formula

A percentage is a number or ratio whose denominator is equal to 100. For example, if we want to find 10% of 150, it should be as:

(10/ 100) × 150 = 1500/ 100

= 15.

It means that 10% of 150 is 15.

## How to Convert Fraction to Percent?

Convert fraction to a percent, you just need to multiply the fraction by 100 and reduce it to percent. Here are a few examples that will give you a clear understanding of how to convert fraction to a percent. To convert a fraction into percent, follow the steps given below:

• Convert the fraction into a decimal number.
• Multiply the obtained decimal number by 100, to get a percent value

## Fraction to Percent Conversion Table

 Fraction Percent 1/2 50 % 1/3 33.33 % 2/3 66.67 % 1/4 25 % 2/4 50 % 3/4 75 % 1/5 20 % 2/5 40 % 3/5 60 % 4/5 80 % 1/6 16.67 % 2/6 33.33 % 3/6 50 % 4/6 16.67 % 5/6 83.33 % 1/7 14.285714 % 2/7 28.571429 % 3/7 42.857143 % 4/7 57.142858 % 5/7 71.428571 % 6/7 85.714286 % 1/8 12.5 % 2/8 25 % 3/8 37.5 % 4/8 50 % 5/8 62.5 % 6/8 75 % 7/8 87.5 % 1/9 11.111111 % 2/9 22.222222 % 3/9 33.333333 % 4/9 44.444444 % 5/9 55.555556 % 6/9 66.666667 % 7/9 77.777778 % 8/9 88.888889 % 1/10 10 % 2/10 20 % 3/10 30 % 4/10 40 % 5/10 50 % 6/10 60 % 7/10 70 % 8/10 80 % 9/10 90 %

## Examples of Fraction to Percent

Example 1: Convert 3/4 to a percent.

Solution:

Step 1: Convert the fraction 3/4 into decimal

Step 2:  3/4 = 0.75

Step 3: Multiply the decimal by 100: 0.75  × 100 = 75%

Therefore, the solution is  75%

Example 2: Convert 3/16 to per cent.

Solution:

Step 1:  Convert the fraction 3/16 into decimal

Step 2: 3/16 =0.1875

Step 3:Multiply the decimal by 100: 0.1875  × 100 = 18.75%

Therefore, the solution is 18.75 %

Example 3: In a cricket tournament, team Red has won 7 games out of 8 games played, while team Blue has won 19 out of 20 games played. Which cricket team has a higher percentage of wins?

Solution:

Team Red: Won 7 out of 8 games played: 7/8

Step 1: Convert the fraction 7/8 into decimal

Step 2: 7/8 = 0.875

Step 3:Multiply the decimal by 100: 0.875  × 100 = 87.5%

Team Blue: Won 19 out of 20 games played: 19/20

Step 1: Convert the fraction 19/20 into decimal

Step 2: 19/20 = 0.95

Step 3: Multiply the decimal by 100: 0.95  × 100 = 95%

Team Red has 87.5% of winning rate, while the team Blue has a 95 % winning rate. The answer is team Blue has a higher percentage of wins with 95 %