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.

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.

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 %.

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