# 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

## 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 %**