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 fraction1/2consists 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 3/4to 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 3/16to 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 a95 %winning rate.

Therefore, team Blue has a higher percentage of wins with**95 %.**

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## 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.

I am a seasoned expert in the field of mathematics, particularly specializing in the concepts of fractions and percentages. My expertise is rooted in a comprehensive understanding of mathematical principles and their practical applications. I have delved deep into the intricacies of fraction-to-percent conversions, percentage calculations, and the fundamental concepts underlying these mathematical operations.

In the provided article, the discussion begins with a clear definition of fractions and percentages as terms used for comparing quantities. The article emphasizes that percentages represent fractions of a whole, making it easier to conceptualize compared to working with fractions directly. To illustrate this, an example involving a class of 38 students, with 23 being female, is presented, and the percentage of female students is calculated as 23/38 or approximately 60%.

The article then delves into the detailed explanation of fractions, highlighting the components of a fraction, including the numerator and denominator. It further explains the concept of percentages, defining them as ratios or numbers expressed as fractions of 100. An example is given to show the conversion of a percentage, such as 35%, into its fractional form, 35/100.

The percentage formula is introduced, emphasizing that a percentage is a number or ratio with a denominator equal to 100. The article provides a step-by-step guide on how to convert fractions to percentages, involving the conversion of the fraction into a decimal and then multiplying it by 100.

A helpful fraction-to-percent conversion table is provided, offering a quick reference for various fractions and their corresponding percentages. The article also includes examples demonstrating how to convert specific fractions, like 3/4 and 3/16, into percentages.

To reinforce the concepts, the article answers frequently asked questions (FAQs) related to converting fractions to percentages. Examples include turning 1/3 into a percent (33.33%), converting 3/8 to a percentage (37.5%), and expressing 7/8 as a percentage (87.5%).

In summary, this article serves as a comprehensive guide to understanding and applying concepts related to fractions and percentages, offering clear explanations, illustrative examples, and practical conversion methods.