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 = 0.60526315789473684210526315789474 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, understand what is fraction and percent in detail.
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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 some equal parts of a whole, while the denominator represents how many parts consists of a whole, which cannot be zero. Consider 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.
The below figure shows the conversion of a fraction to percentage.
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. The percentage formula is given as follows:
For example, if we want to find 10% of 150, it can be done as:
(10/ 100) × 150 = 1500/ 100
= 15
Thus, 10% of 150 is 15.
How to Convert Fraction to Percent?
To 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
Also, try out: fraction to percent calculator.
Fraction to Percent Conversion Table
The fraction to percent table is given below for a few fractions. This table helps in solving many numerical problems in maths.
| 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 | 66.67 % |
| 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 percent.
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 team Blue has a 95 % winning rate.
Therefore, team Blue has a higher percentage of wins with 95 %.
To learn more about conversion, register with BYJU’S – The Learning App and download the app to learn with ease.
Frequently Asked Questions – FAQs
How do you convert fraction to a percent?
Step 1: Divide the numerator by the denominator
Step 2: Multiply the resulting decimal of the above division by 100
Step 3: Express the value using the symbol “%”
What is 1/3 as a percent?
1/3 = 0.3333…
Multiplying the above decimal by 100,
0.3333 × 100 = 33.33%
Thus, the fraction is equivalent to 33.33 percent.
How do you turn 3/8 into a percent?
3/8 = 0.375
Now, multiplying the decimal by 100,
0.375 × 100 = 37.5%
Therefore, 3/8 is equivalent to 37.5 percent.
What is 7/8 as a percentage?
7/8 = 0.875
Now, multiplying the decimal by 100,
0.875 × 100 = 87.5%
Therefore, 7/8 is equal to 87.5 percentage.
What is 5/8 as a percentage?
5/8 = 0.625
Now, multiplying the obtained decimal by 100,
0.625 × 100 = 62.5%
Thus, 5/8 can be written as 62.5 percentage.
What is 3/10 as a percentage?
3/10 = 0.3
Now, multiplying the obtained decimal by 100,
0.3 × 100 = 30%
Thus, 3/10 can be represented as 30 percentage.
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