Percent to Fraction

Percent to fraction conversion is needed to make use of the value of percentage in a calculation. In any calculation, the percent value has to be changed in a number in fractional form by removing the percent symbol and dividing it by 100. So, x percent to fraction is x/100. For example, 50% is equivalent to 50/100 which can be reduced to 1/2.

Percent means per hundred or for every hundred. We represent it as %. A percentage is simple to understand as it is on a scale of 1 to 100. The percent to fraction is the conversion of percentage values to a fraction. As per the percent to fraction steps, the percentage can be converted into a fraction by removing the % symbol and then writing the value in the form of a fraction with a 100 in the denominator. A percentage value of 21% is equal to a fraction of 21/100. Any percent is easy to be converted to a fraction and vice versa.

There are three simple steps to convert percent to fraction. Let us look at these three steps below.

• Step 1: Drop the percent symbol %.
• Step 2: Divide it by 100.
• Step 3: Reduce the fraction so obtained.

Example: Mia has 20 items on her shopping list. She checks with her list and finds that she has completed 40% of her shopping. Can you say how many more items she has to buy? She has done 40% of her shopping which is 2/5 of 20 items. 2/5 × 20 = 8. Therefore, the number of items she has to still buy is 20 - 8 = 12.

The conversion of a percent to a fraction is very simple and convenient. Further, it depends on the numerical value of the percentage. The numeric value of the percentage could be a whole number, a fraction, or a decimal. In all the cases the percentage symbol is dropped and the numeric value is divided by the number 100. Let us now look at the following conversions from one form to another form.

Whole Number Percent to Fraction

To convert the whole number percent to a fraction, the following steps can be used:

• Step 1: Remove the percent symbol and divide it by 100.
• Step 2: Reduce the fraction with 100 as the denominator, into a simple fraction.

Let us look at a simple example to understand more. If there are 45 girls out of 100 students in the class, we mean 45% of the students are girls. So, 45%= 45/100 = 9/20.

Mixed Number Percent to Fraction

To convert mixed number percent to fraction, follow the steps given below. Consider \(12 \dfrac{1}{2}\)%.

• Step 1: Convert it into an improper fraction. \(12 \dfrac{1}{2}\)% = 25/2 %.
• Step 2: Drop the percent symbol %, multiplying by 1/100. So, 25/2 % = 25/2 × 1/100 = 25/200.
• Step 3: Reduce it to the lowest form, i.e. 25/200 = 1/8.

Converting Decimal Percent to Fraction

To convert decimal percent to fraction, follow the steps given below. Consider the percentage value of 7.5%.

• Step 1: Drop the % symbol and divide it by 100. So, 7.5% = 7.5/100.
• Step 2: Drop the decimal point of the numerator. Multiply both numerator and denominator by 10. (7.5 × 10)/(100 × 10) = 75/1000.
• Step 3: Reduce this fraction to its lowest form by finding the GCF of the numerator and denominator. (75 ÷ 25)/(1000 ÷ 25) = 3/40.

Given below is a simple percent to fraction conversion table that shows all forms of conversions written above.

Percent to fraction conversion is very helpful in calculations. The process to convert a percent to a fraction is to remove the percent symbol and divide the number by 100. The numerical value is in the numerator and the number 100 is in the denominator and it forms a fraction. Further, reduce the fraction to obtain the simplest fraction value. Here let us look at the percent to fraction chart given below.

Important Points

• While converting fraction to percent, we multiply the given fraction by 100.
• While converting percent to fraction, we divide the given percentage by 100 and remove the percent sign.
• To convert decimal percent to fraction, remove the decimal point and then divide by 100. Then, multiply the denominator with a power of 10 with as many zeros as the decimal places in the numerator.
• To convert mixed number percent to fraction, convert mixed to an improper fraction and then divide it by 100.

Related Topics

Check these interesting articles to know more about the concept of a percent to fraction and its related topics.

• Percent to Fraction Calculator
• Fraction to Percent
• Fraction to Percentage Calculator
• Percentages
• Decimal to Percent
• Fraction to Decimal
• Convert Decimal to Fraction

What is Percent to Fraction?

Percent to a fraction is the interpretation of the given percentage in fractional form. Here, we need to convert a percent to a fraction. For this we can simply remove the percentage symbol and replace it with a 100 in the denominator, to obtain the required fraction. For an example, 25% = 25/100 = 1/4.

How do you Convert Percent to Fraction?

To convert a percent to a fraction, we have to remove the percent sign and divide the given number by 100. And, then we express the fractional form of the percentage in the simplest form. For example, 1% is 1/100, 2% is 2/100 which can be reduced to 1/50.

How to Convert Mixed Percent to Fraction?

The process to convert a mixed percent to a fraction is very simple. The steps given below are to be followed to convert mixed percent to a fraction:

• Convert the mixed fraction to an improper fraction.
• Divide it by 100, and remove the percentage symbol.
• The fraction is then simplified to obtain the answer.

Let us look at a simple example to understand better. 12½% = 25/2% = 25/2 × 1/100 = 25/200 = 1/8.

How to Convert Decimal Percent to Fraction?

The decimal percent can be easily converted into a fraction by following the steps given below:

• Convert the decimal percentage into a fraction percent by dividing it with a power of 10 containing as many zeros as the number of decimal places in the decimal percent given.
• Remove the percentage symbol by dividing the fraction by 100.
• Simplify the fraction to obtain the required answer.

Let us solve a simple example to clearly understand this explanation. 2.5% = 25/10% = 25/10 × 1/100 = 25/1000 = 1/40.

What is 54 Percent to Fraction?

To express 54% in fractional form, we will follow the steps mentioned below:

• Step 1: Remove the percent sign and divide it by 100. In this way, we get 54/100.
• Step 2: Now, express 54/100 in the simplest form, which is 27/50.

Therefore, 54 percent to fraction is 27/50.

What is 2.7 Percent to Fraction?

To express 2.7% in fractional form, we will follow the steps mentioned below:

• Step 1: Remove the percent sign and divide it by 100. In this way, we get 2.7/100.
• Step 2: Multiply both numerator and denominator by 10 to remove the decimal point. Here, we get 27/1000.
• Step 3: Now, express 27/1000 in the simplest form. 27/1000 is already in the simplest form, so it is the final answer.

Therefore, 2.7 percent to fraction is 27/1000.

Can a Percent and Fraction Be Equal?

A percent and a fraction are not equal. They differ by a percent symbol %. Removal of a percent symbol replaces it with a fraction. For example, 40 percent to fraction is 40/100 = 4/10 = 2/5.