# 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: $\small \frac{23}{38} = 0.6052631578900001$ or about $\small 60 \%$. 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 $\small \frac{1}{2}$ consists of a numerator and a denominator. The numerator is the 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 $\small \frac{3}{4}$. Here the numerator is 3 – that means three equal parts and the denominator is 4 – indicating four parts make up a whole.

## What is a 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 $\small \%$. To understand the concept how the percent represents the fraction of 100 here is an example. $\small 35 \%$ can be written in fraction as $\small \frac{35}{100}$. In class, 50% of the students were male, which means out of every 100 students 50 were male.

## 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 few examples that will give you a clear understanding of how to convert fraction to a percent. You can also use our online fraction to percent calculator for effortless conversion.

## Fraction to Percent Conversion Table

 Fraction Percent $\frac{1}{2}$ $\small 50\%$ $\frac{1}{3}$ $\small 33.33 \%$ $\frac{2}{3}$ $\small 66.67 \%$ $\frac{1}{4}$ $\small 25\%$ $\frac{2}{4}$ $\small 50\%$ $\frac{3}{4}$ $\small 75\%$ $\frac{1}{5}$ $\small 20\%$ $\frac{2}{5}$ $\small 40\%$ $\frac{3}{5}$ $\small 60\%$ $\frac{4}{5}$ $\small 80\%$ $\frac{1}{6}$ $\small 16.67\%$ $\frac{2}{6}$ $\small 33.33\%$ $\frac{3}{6}$ $\small 50\%$ $\frac{4}{6}$ $\small 16.67\%$ $\frac{5}{6}$ $\small 83.33\%$ $\frac{1}{7}$ $\small 14.285714\%$ $\frac{2}{7}$ $\small 28.571429\%$ $\frac{3}{7}$ $\small 42.857143 \%$ $\frac{4}{7}$ $\small 57.142858 \%$ $\frac{5}{7}$ $\small 71.428571 \%$ $\frac{6}{7}$ $\small 85.714286\%$ $\frac{1}{8}$ $\small 12.5 \%$ $\frac{2}{8}$ $\small 25\%$ $\frac{3}{8}$ $\small 37.5 \%$ $\frac{4}{8}$ $\small 50\%$ $\frac{5}{8}$ $\small 62.5\%$ $\frac{6}{8}$ $\small 75\%$ $\frac{7}{8}$ $\small 87.5\%$ $\frac{1}{9}$ $\small 11.111111 \%$ $\frac{2}{9}$ $\small 22.222222 \%$ $\frac{3}{9}$ $\small 33.333333 \%$ $\frac{4}{9}$ $\small 44.444444 \%$ $\frac{5}{9}$ $\small 55.555556 \%$ $\frac{6}{9}$ $\small 66.666667 \%$ $\frac{7}{9}$ $\small 77.777778 \%$ $\frac{8}{9}$ $\small 88.888889 \%$ $\frac{1}{10}$ $\small 10 \%$ $\frac{2}{10}$ $\small 20 \%$ $\frac{3}{10}$ $\small 30 \%$ $\frac{4}{10}$ $\small 40 \%$ $\frac{5}{10}$ $\small 50 \%$ $\frac{6}{10}$ $\small 60 \%$ $\frac{7}{10}$ $\small 70 \%$ $\frac{8}{10}$ $\small 80 \%$ $\frac{9}{10}$ $\small 90 \%$

## Examples of Fraction to Percent

Example 1: Convert $\small \frac{3}{4}$ to a percent.

Solution:

Step 1: Multiply both numerator and denominator by 25. Because by multiplying the denominator with 25 we get 100.

Step 2: $\small 3 \times 25 = 75$ and $\small 4 \times 25 = 100$

Step 3: Now, we got $\small \frac{75}{100}$

Step 4: Reduce the fraction: $\small \frac{75}{100} = 75\%$

The answer is $\small 75\%$

Example 2: Convert $\small \frac{3}{16}$ to a percent.

Solution:

Step 1: Multiply both numerator and denominator by 6.25. Because by multiplying the denominator with 6.25 we get 100.

Step 2: $\small 3 \times 6.25 = 18.75$ and $\small 16 \times 6.25 = 100$

Step 3: Now, we got $\small \frac{18.75}{100}$

Step 4: Reduce the fraction: $\small \frac{18.75}{100} = 18.75 \%$

The answer is $\small 18.75 \%$

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 higher percentage of wins?

Solution:

Team Red: Won 7 out of 8 games played: $\small \frac{7}{8}$

Step 1: Multiply both numerator and denominator by 12.5. Because by multiplying the denominator with 12.5 we get 100.

Step 2: $\small 7 \times 12.5 = 87.5$ and $\small 8 \times 12.5 = 100$

Step 3: Now, we got $\small \frac{87.5}{100}$

Step 4: Reduce the fraction: $\small \frac{87.5}{100} = 87.5 \%$

Team Blue: Won 19 out of 20 games played: $\small \frac{19}{20}$

Step 1: Multiply both numerator and denominator by 5. Because by multiplying the denominator with 5 we get 100.

Step 2: $\small 19 \times 5 = 95$ and $\small 20 \times 5 = 100$

Step 3: Now, we got $\small \frac{95}{100}$

Step 4: Reduce the fraction: $\small \frac{95}{100} = 95 \%$

Team Red has $\small 87.5 \%$ of winning rate, while the team Blue has $\small 95 \%$ winning rate. The answer is team Blue has higher percentage of wins with $\small 95 \%$<

#### Practise This Question

7×100 +1×10 +8 written as a numeral is