Conversion of a fraction into a percent is a simple task only when you understand the concept. There are two methods to convert a fraction into a percentage one is by using the decimal method and the other is by using the proportion method. In this article, we will learn the relationship between fractions and percentages. 5th grade math students can know how to convert a fraction into a percent, what are fractions and percentages.
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What is Fraction to Percent?
Fraction is a part of the whole number. The word fraction is derived from the Latin “fractio” which means to break. Percent means a portion or numerical value out of a hundred. We can also say that it is the division of a number by total number and multiply by 100. Conversion of the fraction to a percentage means to convert the whole part into 100.
In order to find the percentage of the fraction, we have to find the number of parts in the shaded region.
There are 4 parts out of which three are shaded.
3/4 = 3/4 × 100
= 300/4%
= 75%
Fraction to Percent Conversion Using Proportions
When two ratios a/b and c/d are equal the numbers a, b, c, d are said to be in a proportion. If we have the fraction a/b, we have to convert the ratio into x/100. For better understanding, we will explain the method with an example.
Example:
Convert the fraction 3/4 into percentage using the proportion method.
Solution:
Given the fraction 3/4
3/4 = x/100
3/4 × 100 = x
x = 300/4
x = 75%
How to Convert a Fraction to a Percent?
To convert a fraction into a percent, we have to multiply the given fraction by 100 and reduce it to percent. There are two ways to understand how to convert a fraction into a percentage. They are as follows,
i. Convert the fraction to a decimal number.
ii. Multiply the acquired decimal number by 100 in order to get the percent value.
Formula to Convert Fraction into a Percentage
The formula used to convert the fraction to a percent is given below
Percentage = (Value/Total Value) × 100
Percentage = Fraction × 100
Fraction to Percent Conversion Table
The conversion of the fraction to percentage is given in the below table. Go through the table and make your calculation easier.
| Fraction | Percentage |
| 1/2 | 50% |
| 1/3 | 33.33% |
| 1/4 | 25% |
| 1/5 | 20% |
| 1/6 | 16.67% |
| 1/7 | 14.28% |
| 1/8 | 12.5% |
| 1/9 | 11.11% |
| 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% |
| 10/10 | 100% |
Examples on How to Turn a Fraction into a Percentage
Check out the below examples to know in detail about the conversion of fraction into a percentage.
Example 1.
Express 12/6 as a percentage
Solution:
12/6 × 100
= (12 × 100)/6
= 1200/6 ÷ 2/2
Divide the numerator and denominator by 2
Then we get 600/3 = 200%
Example 2.
Express 26/2 as a percentage
Solution:
26/2 × 100
= (26 × 100)/2
= 2600/2 ÷ 2/2
Divide the numerator and denominator by 2
Then we get 1300%
Example 3.
Express 20/30 as a percentage.
Solution:
20/30 × 100
= (20 × 100)/30
= 2000/30 ÷ 5/5
Divide the numerator and denominator by 5
Then we get 400/6 = 66.6%
Example 4.
Express 18/4 as a percentage
Solution:
18/4 × 100
= (18 × 100)/4
= 1800/4 ÷ 2/2
Divide the numerator and denominator by 2.
Then we get 900/2 = 450%
Example 5.
Express 2/2 as a percentage
Solution:
2/2 × 100
=(2 × 100)/2
=200/2 ÷ 2/2
Divide the numerator and denominator by 2.
Then we get 100%
FAQs on Converting Fractions to Percentage
1. What are the methods to convert fractions to percent?
There are two methods to convert a fraction into a percentage. They are
1. Convert the fraction to a decimal number.
2. Using Proportions.
2. How do you convert a fraction to a percent?
i. First divide the numerator by denominator.
ii. Multiply the obtained decimal by 100.
iii. At last express the value using the symbol’%’
3. What is 1/2 as a percent?
We can solve this problem using proportion method.
1/2 = x/100
1/2 × 100 = x
x = 100/2%
x = 50%