To Convert a Percentage into a Fraction

To Convert a Percentage into a Fraction – Definitions, Steps, Examples | How to Convert Percentage into Fraction?

Most of the students feel difficulty in converting percent to fraction and fraction to percent. We will help those students to learn simple and easy methods to convert a percentage into a fraction with simple steps. Generally, we use percentages and fractions in our daily life. Before that, the 5th grade students must know what is percent and what is a fraction. Check out the article to know in-depth about percent to fraction conversion.

Do Refer:

What is a Percent?

The word percentage is derived from the Latin word – per centum. Percent means “out of hundred”. It is denoted by a sign %.
Example: A park is 50% filled by plants.
Solution:
Given,
A park is 50% filled with plants
That means 50 out of 100 are covered by plants.

What is a Fraction?

A fraction is a number that is part of a whole number. A fraction represents the division of whole numbers into equal parts. A fraction consists of a numerator and a denominator. The numerator is known as the top number and the denominator is known as the bottom number.

How to Convert Percentage into Fraction?

Follow the below provided steps to easily convert between a percentage and fraction. They are as follows

Step 1. Write the given percent divided by 100. That means percent/100.
Step 2. If the given number is not a whole number, then multiply and divide by 10 for every number after the decimal point.
Step 3. Simplify the fraction.
To Convert a percentage into a fraction

Percentage to Fraction Conversion Table

The below table will make your conversion from percent to fraction easy.

Percentage Fraction
1% 1/100
2% 2/100
3% 3/100
4% 4/100
5% 5/100
6% 6/100
7% 7/100
8% 8/100
9% 9/100
10% 10/100 or 1/10
11% 11/100
25% 25/100 or ¼
28% 28/100 or 14/50 or 7/25
30% 30/100 or 3/10
33.33% 1/3
40% 40/100 or 2/5
50% 50/100 or ½
85% 85/100
100% 1

Converting Percentage as Fractions Examples

Let us discuss converting a percentage into a fraction with some examples.

Example 1.
Convert the percentage 6% into a fraction.
Solution:
We have to convert percent into the fraction by divided with 100.
We know that 1% = 1/100
The given percentage is a whole number.
Then 6% = 6/100
Now we need to reduce 6/100 to its lowest term.
6/100 ÷ 2/2
Divide both the numerator and denominator by 2.
= 3/50
This is cannot be simplified further.

Example 2.
Convert the percentage 38% into a fraction
Solution:
We have to convert percent into the fraction by divided with 100.
We know that 1% = 1/100
Here the given percentage is a whole number.
Then 38% = 38/100
Now we need to reduce 38/100 to its lowest term.
38/100 ÷ 2/2
Divide both the numerator and denominator by 2.
= 19/50
This is cannot be simplified further.

Example 3.
Convert the percentage 45% into a fraction.
Solution:
We have to convert percent into the fraction by divided with 100.
We know that 1% = 1/100
Here the given percentage is a whole number.
Then 45% = 45/100
Now we need to reduce 45/100 to its lowest term.
45/100 ÷ 5/5
Divide both the numerator and denominator by 5.
= 9/20
This is cannot be simplified further.

Example 4.
Convert the percentage 25% into a fraction.
Solution:
We have to convert percent into the fraction by divided with 100.
We know that 1% = 1/100
Here the given percentage is a whole number.
Then 25% = 25/100
Now we need to reduce 25/100 to its lowest term.
25/100 ÷ 5/5
Divide both the numerator and denominator by 5.
= 5/20
= 1/4

Example 5.
Convert the percentage 140% into a fraction
Solution:
We have to convert percent into the fraction by divided with 100.
We know that 1% = 1/100
Here the given percentage is a whole number.
Then 140% = 140/100
Now we need to reduce 6/100 to its lowest term.
140/100 ÷ 2/2
Divide both the numerator and denominator by 2.
70/50 = 7/5 = 1 2/5.

FAQs on Converting a Percent into a Fraction

1. What is 9 percent in a fraction?

9% in a fraction is 9/100.

2. What is the fraction form of 50%?

The fraction form of 50% is 50/100 or 1/2.

3. What is the fraction for 7 percent?

The fraction for 7 percent is 7/100.

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