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🔢 Fractions

Fraction to Percent Calculator

Enter a numerator and denominator to convert any fraction into a percentage and a decimal, with the step-by-step working shown.

Fraction → %
Decimal value
Lowest terms
Step-by-step
100% Free
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Fraction → percent — Quick answer

Divide top by bottom, then multiply by 100.

percent = (numerator ÷ denominator) × 100

Worked example: 3/4 → 3 ÷ 4 = 0.75 → ×100 = 75%.

Examples

FractionDecimalPercent
5/80.62562.5%
7/200.3535%
1/30.3333…33.33%

Percent means "per hundred" — 35% is the same as 35/100.

🔢 Fraction to Percent Calculator

Enter the fraction.

Percent
Decimal
Lowest terms
As parts of 100

ℹ️ Percent = numerator ÷ denominator × 100. Repeating decimals are rounded to 4 places.

To turn a fraction into a percent, divide the numerator by the denominator and multiply by 100. Because "percent" means parts per hundred, the result tells you how many hundredths the fraction is worth — 3/4 is 75 hundredths, or 75%. This calculator returns the percentage, the decimal, and the fraction in lowest terms.

Reviewed: June 20, 2026 · Author: Naveen P N, Founder — AI Calculator · Verified against: exact arithmetic, recomputed in code.

The method

Fraction to percent
percent = (numerator ÷ denominator) × 100

There are two equivalent routes. The first is to divide and scale: 5 ÷ 8 = 0.625, then ×100 = 62.5%. The second is to rewrite the fraction with a denominator of 100, since a percent is just a fraction out of 100: 7/20 × 5/5 = 35/100 = 35%. Both give the same answer; the calculator uses division so it works for any denominator.

Worked examples

5/8:

Divide & scale
5 ÷ 8 = 0.625 · ×100 = 62.5%

7/20 (scale to /100):

Parts per hundred
7/20 × 5/5 = 35/100 = 35%

1/3 (repeating):

Non-terminating
1 ÷ 3 = 0.3333… → 33.3333% ≈ 33.33%

When the numerator is bigger than the denominator the percent passes 100 — for example 5/4 = 1.25 = 125%. Denominators built only from 2s and 5s (like 4, 8, 20) give clean terminating percentages; others (like 3 or 7) repeat.

Frequently Asked Questions

How do I convert a fraction to a percent?

Divide numerator by denominator, multiply by 100. 3/4 → 0.75 → 75%.

What is 5/8 as a percent?

5 ÷ 8 = 0.625 → 62.5%.

Why is 1/3 a repeating percent?

1 ÷ 3 = 0.3333… never ends, so it's 33.33% (or 33⅓%). Denominators with factors other than 2 and 5 repeat.

Can a fraction be over 100%?

Yes — when the top exceeds the bottom. 5/4 = 1.25 = 125%.

How do I turn a percent back into a fraction?

Write it over 100 and reduce. 35% = 35/100 = 7/20.

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