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Percent to Fraction Calculator

Write down any percentage, and this tool will quickly convert it to an equivalent fraction (proper, improper, or mixed number) with the work shown.

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Percent to Fraction Calculator

This Percent to Fraction Calculator allows you to convert any percentage into its equivalent fraction, including proper, improper, and mixed numbers. Percentages over 100% are automatically represented as mixed numbers. Simply enter the percent, and the calculator provides the simplified fraction instantly. If you need the reverse, use the Fraction to Percent Calculator.

About Percent Fractions

A percentage represents a value out of 100. A fraction is another way to express the same value. To convert a percent to a fraction manually, you can either divide the percentage by 100 to get a decimal and simplify, or directly write the percentage over 100 and reduce using the GCF (Greatest Common Factor).

Example: 35% → 35/100 → GCF = 5 → 35 ÷ 5 / 100 ÷ 5 = 7/20

How to Use the Percent to Fraction Calculator

Input: Enter the percentage you want to convert.

Output:

Fraction equivalent of the entered percentage
Step-by-step solution
Mixed number representation if the percentage is greater than 100%

How to Convert a Percent to a Fraction

There are two common methods:

Method 1: Convert to Decimal, Then to Fraction

Divide the percent by 100 to get a decimal.
Write the decimal as a fraction with denominator 1.
Multiply numerator and denominator by 10^x (x = number of digits after the decimal) to remove the decimal.
Simplify the fraction using GCF.

Example: Convert 35.5% to fraction

35.5 ÷ 100 = 0.355
0.355 / 1 → multiply numerator and denominator by 1000 → 355/1000
GCF = 5 → 355 ÷ 5 / 1000 ÷ 5 = 71/200
So, 35.5% = 71/200

Method 2: Write Percentage Over 100

Write the percentage as a fraction over 100 and reduce using the GCF.

Example: Convert 25% to fraction

25% → 25/100
GCF = 25 → 25 ÷ 25 / 100 ÷ 25 = 1/4
So, 25% = 1/4

FAQs

What is 15% as a fraction?

15% = 3/20

What is 40% as a fraction?

40% = 2/5

What is 200% as a fraction?

200% = 2/1 or 2

What is 2% as a fraction?

2% = 1/50

What is 10% as a fraction?

10% = 1/10

What is 35% as a fraction?

35% = 7/20

What is 70% as a fraction?

70% = 7/10

What fraction equals 60%?

60% = 3/5

What is 5% as a fraction?

5% = 1/20

What is 25% as a fraction?

25% = 1/4

What is 4% as a fraction?

4% = 1/25 (source)

What is 85% as a fraction?

85% = 17/20

Takeaway

This Percent to Fraction Calculator makes converting percentages to fractions simple, fast, and accurate. Step-by-step solutions make it perfect for learning and academic use. It is free and accessible online for everyone.

References

Virtual Nerd: How to turn a percent into a fraction
TutorialsPoint: Converting percentage into fraction in simplest form
Online Math Learning: Percent to fraction explained
Math-Only-Math: Percentage into fraction in lowest terms

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