Percent to Fraction Calculator

Percent to fraction calculator is an online tool that helps convert a percent into a fraction. If the percent is greater than 100%, the calculator will convert it into a mixed number fraction. The calculator converts the percent into a mixed number fraction if the percent is greater than 100%. You can enter the percent value, which can also include decimal places, and the calculator will perform the conversion. Students and teachers can use this percent-to-finance calculator to better understand the relationship between percentages and fractions. In finance and banking, it helps convert interest rates, tax rates, or discounts from percentages into fractions. This tool eliminates manual calculations and ensures accurate, simplified fractions in just a few steps.

How to Convert a Percent to Fraction?

Here’s how you can perform the process of a percent to fraction conversion:

• Divide the percentage by 100 to convert it into a decimal number.

• Write the decimal number as the numerator of a fraction with 1 as the denominator.

• Count the decimal places in the numerator and multiply both the numerator and denominator by 10x, where 𝑥 is the number of decimal places, to eliminate the decimal.

• Find the Greatest Common Factor (GCF) of the numerator and denominator and divide both by the GCF to simplify the fraction.

• If the simplified fraction is improper, rewrite it as a mixed number.

You may also use an online percent to fraction converter to perform the calculations seamlessly. To understand the concept of a percent to fraction conversion, let us look at a percent to fraction example:

Example: Convert 62.5% to a Fraction

Step 1: Divide by 100
62.5 ÷ 100 = 0.625 

Step 2: Rewrite the decimal number as a fraction (over 1)
0.625/1 

Step 3: Multiply the numerator and denominator by 103 = 1000 to remove 3 decimal places
0.625 × 1000/1 × 1000 = 625/1000 

Step 4: Find the Greatest Common Factor (GCF) of 625 and 1000 and reduce the fraction (GCF = 125)
625 ÷ 125/1000 ÷ 125 = 5/8 

Therefore,
62.5% = 5/8 

Percent to Fraction Conversion Table

In Closing

The percent to fraction calculator is a valuable online tool that simplifies the process of converting percentages into fractions. Whether dealing with percentages greater than 100% or values with decimal places, this tool makes the conversion process quick, accurate, and hassle-free. By following the outlined steps, users can easily understand the relationship between percentages and fractions. With the added convenience of automatic calculations and accurate results, the percent to fraction converter ensures smooth, error-free conversions, saving time and effort.

FAQs

How do you convert a percent to a fraction?

If you want to convert a percent to a fraction, the first step that you need to do is to divide the percentage by 100. This is because all percentages are decimals expressed "per hundred." If the percentage is less than 100%, you can directly write the decimal as a fraction with a denominator of 100. For example, 25% becomes 25/100. If the percentage is greater than 100% or less than 100%, you need to first separate the whole number part, and then convert the decimal portion into a simplified fraction. Finally, reduce the fraction by finding the greatest common factor (GCF) of the numerator and denominator and dividing both by the GCF to simplify.

How to convert 16.67% into fraction?

To convert 16.67% into a fraction, follow the steps outlined below:

Step 1: Divide by 100
16.67 ÷ 100 = 0.1667 

Step 2: Since there are 4 decimal places, multiply both the numerator and denominator by 10,000 to remove the decimal.
0.1667 × 10,000/1 × 10,000 =1667/10,000 

Step 3: The GCF of 1667 and 10,000 is 1, so the fraction is already in its simplest form.

1667/10,000 = 1/6
Answer: 16.67% = 1/6

What is 12.5% as a fraction?

The fraction form of 12.5% is 25/2.

How to change 83.33% into a fraction?

Step 1: Divide by 100
83.33 ÷ 100 = 0.8333

Step 2: Since there are 4 decimal places, multiply both the numerator and denominator by 10,000 to remove the decimal.
0.8333 × 10,000/1 × 10,000 = 8333/10,000 

Step 3: The GCF of 8333 and 10,000 is 1, so the fraction is already in its simplest form.

However, 83.33% is very close to 5/6 when simplified to its approximate fractional value.
Answer: 83.33% = 5/6

How to convert 14.28 percent in fractions?

Step 1: Divide by 100
14.28 ÷ 100 = 0.1428

Step 2: Since there are 4 decimal places, multiply both the numerator and denominator by 10,000 to remove the decimal.
0.1428 × 10,000/1 × 10,000 =1428/10,000 

Step 3: The GCF of 1428 and 10,000 is 4, so divide both the numerator and denominator by 4:

1428 ÷ 4/10,000 ÷ 4 = 357/2500
Answer: 14.28% = 357/2500