Convert Fractions

Professional fraction converter with instant processing. Convert between fractions, decimals, percentages, and ratios instantly.

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Enter fraction: /

Enter decimal:

Enter percentage: %

Enter ratio:

Fraction conversion result

0/1 = 0 = 0% = 0:1

Fraction	Decimal	Percentage (%)	Ratio	Use Case
1/2	0.5	50%	1:2	Half
1/3	0.333...	33.33%	1:3	One Third
2/3	0.666...	66.67%	2:3	Two Thirds
1/4	0.25	25%	1:4	Quarter
3/4	0.75	75%	3:4	Three Quarters
1/5	0.2	20%	1:5	One Fifth
2/5	0.4	40%	2:5	Two Fifths
3/5	0.6	60%	3:5	Three Fifths

Conversion Formulas

Fraction to Decimal:
Decimal = Numerator ÷ Denominator
Fraction to Percentage:
% = (Numerator ÷ Denominator) × 100
Fraction to Ratio:
Ratio = Numerator:Denominator

Decimal to Fraction:
Find GCD, simplify
Percentage to Fraction:
Fraction = % ÷ 100, then simplify
Ratio to Fraction:
Fraction = First:Second

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Frequently Asked Questions

A fraction represents a part of a whole number. It consists of a numerator (top number) and denominator (bottom number). For example, 3/4 means 3 parts out of 4 equal parts, which equals 0.75 as a decimal or 75% as a percentage.

To convert a fraction to a decimal, divide the numerator by the denominator. For example: 3/4 = 3 ÷ 4 = 0.75. Some fractions result in repeating decimals, like 1/3 = 0.333...

To convert a fraction to a percentage, first convert it to a decimal, then multiply by 100. For example: 3/4 = 0.75 × 100 = 75%. Alternatively, you can multiply the fraction by 100 directly: (3/4) × 100 = 75%.

A proper fraction has a numerator smaller than the denominator (like 3/4), representing a value less than 1. An improper fraction has a numerator equal to or larger than the denominator (like 5/4), representing a value equal to or greater than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD). For example: 6/8 can be simplified by dividing both by 2 to get 3/4. The fraction is in its simplest form when the GCD is 1.

A mixed number combines a whole number and a proper fraction, like 2 1/4. To convert to an improper fraction: multiply the whole number by the denominator, add the numerator, and place over the original denominator. So 2 1/4 = (2×4+1)/4 = 9/4.