Percent to Fraction

Convert percentages to simplified fractions. Handles decimal percents like 3.5% and values over 100%.

Convert any percentage to a simplified fraction instantly. Works with decimals like 33.33% and values over 100% become mixed numbers.

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Fraction
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help_outlineHow to Useexpand_more

This calculator changes any percent into a simplified fraction. It handles whole number percentages like 75% as well as decimal percentages like 3.5% or 0.625%.

The Conversion Process:

First divide by 100 to get a decimal, then convert that decimal to a fraction.

Example: 35.5% → 35.5/100 = 0.355 → 355/1000 → 71/200

Percentages Over 100%:

Values above 100% become improper fractions or mixed numbers.

125% → 125/100 → 5/4 → 1 1/4

infoWhat is Percent to Fraction?expand_more

Turning a percent into a fraction means expressing it as a ratio of two whole numbers. Since percent means "per hundred," every percentage can be written as something over 100, then reduced to lowest terms.

The Five-Step Method:

1. Divide the percentage by 100 to get a decimal

2. Write that decimal as a fraction over 1

3. Multiply to eliminate decimal places

4. Find the GCF and reduce to lowest terms

5. Convert to mixed number if needed

Percentages Under 100%

Become proper fractions

75% → 3/4

Percentages Over 100%

Become improper fractions or mixed numbers

150% → 3/2 → 1 1/2

functionsFormulaexpand_more

Worked Example: Convert 35.5% to a fraction

Step 1: Divide by 100

35.5 / 100 = 0.355

Step 2: Write as a fraction over 1

0.355 / 1

Step 3: Multiply by 1000/1000 (3 decimal places)

(0.355 × 1000) / (1 × 1000) = 355/1000

Step 4: Find GCF (5) and reduce

(355 ÷ 5) / (1000 ÷ 5) = 71/200

Result: 35.5% = 71/200

Simple Whole Number Example: 75%

75% = 75/100

GCF of 75 and 100 is 25

(75 ÷ 25) / (100 ÷ 25) = 3/4

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Half

50% = 1/2

50/100, GCF = 50

Three Quarters

75% = 3/4

75/100, GCF = 25

Decimal Percent

35.5% = 71/200

355/1000, GCF = 5

Small Decimal

0.625% = 1/160

625/100000, GCF = 625

Over 100%

125% = 5/4 = 1 1/4

125/100, GCF = 25

Repeating Decimal

33.33% ≈ 1/3

Approximation of 33.333...%

quizFAQexpand_more
How do I handle decimal percentages like 12.5%?expand_more
The process is the same but requires more steps. 12.5% becomes 12.5/100, then multiply by 10/10 to get 125/1000. Find the GCF (125) and reduce to get 1/8.
What if my percentage won't simplify?expand_more
Some fractions are already in lowest terms. For instance, 37% gives 37/100, which can't be reduced further since 37 is a prime number. That's your final answer.
How do percentages above 100% work?expand_more
They convert to improper fractions (numerator larger than denominator) or mixed numbers. 150% becomes 150/100 = 3/2, which can also be written as 1 1/2.
Why do I need to find the GCF?expand_more
The Greatest Common Factor lets you reduce the fraction to its simplest form. Dividing both numerator and denominator by their GCF gives the same value in smaller numbers. 50/100 becomes 1/2.
Can I enter very small percentages like 0.5%?expand_more
Absolutely. Enter 0.5 and the calculator handles it. 0.5% = 0.5/100 = 5/1000 = 1/200 after simplifying with GCF of 5.
What's the difference between a fraction and mixed number?expand_more
An improper fraction like 5/4 has a larger numerator than denominator. A mixed number separates this into a whole part plus a proper fraction: 5/4 = 1 1/4 (one and one quarter).