Fraction To Percent (Converting Fractional Numbers To Percentage)

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.

Also, read: Percentage How to Calculate Percentage  Percentage Increase Decrease Percent to Fraction

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

Q1

How do you convert fraction to a percent?

To convert a fraction to a percent follow the steps given below: 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 “%”Q2

What is 1/3 as a percent?

Dividing 1 by 3, 1/3 = 0.3333… Multiplying the above decimal by 100, 0.3333 × 100 = 33.33% Thus, the fraction is equivalent to 33.33 percent.Q3

How do you turn 3/8 into a percent?

Dividing 3 by 8, 3/8 = 0.375 Now, multiplying the decimal by 100, 0.375 × 100 = 37.5% Therefore, 3/8 is equivalent to 37.5 percent.Q4

What is 7/8 as a percentage?

Dividing 7 by 8, 7/8 = 0.875 Now, multiplying the decimal by 100, 0.875 × 100 = 87.5% Therefore, 7/8 is equal to 87.5 percentage.Q5

What is 5/8 as a percentage?

Dividing 5 by 8, 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.Q6

What is 3/10 as a percentage?

Dividing 3 by 10, 3/10 = 0.3 Now, multiplying the obtained decimal by 100, 0.3 × 100 = 30% Thus, 3/10 can be represented as 30 percentage.