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

Also, try out:  fraction to percent calculator.

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 %

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